Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation

Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary cond...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Kamvissis, Spyridon [verfasserIn] Shepelsky, Dmitry Zielinski, Lech

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	initial boundary value problems oscillatory initial data nonlinear Schrödinger equation

Anmerkung:	© the authors 2014

Übergeordnetes Werk:	Enthalten in: Journal of nonlinear mathematical physics - Abingdon, Oxon : Taylor & Francis, 1994, 22(2015), 3 vom: Jan., Seite 448-473
Übergeordnetes Werk:	volume:22 ; year:2015 ; number:3 ; month:01 ; pages:448-473

Links:	Volltext

DOI / URN:	10.1080/14029251.2015.1079428

Katalog-ID:	SPR054598761

Internformat


LEADER	01000naa a22002652 4500
001	SPR054598761
003	DE-627
005	20240131064722.0
007	cr uuu---uuuuu
008	240131s2015 xx \|\|\|\|\|o 00\| \|\|eng c
024	7		\|a 10.1080/14029251.2015.1079428 \|2 doi
035			\|a (DE-627)SPR054598761
035			\|a (SPR)14029251.2015.1079428-e
040			\|a DE-627 \|b ger \|c DE-627 \|e rakwb
041			\|a eng
100	1		\|a Kamvissis, Spyridon \|e verfasserin \|4 aut
245	1	0	\|a Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation
264		1	\|c 2015
336			\|a Text \|b txt \|2 rdacontent
337			\|a Computermedien \|b c \|2 rdamedia
338			\|a Online-Ressource \|b cr \|2 rdacarrier
500			\|a © the authors 2014
520			\|a Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0.
650		4	\|a initial boundary value problems \|7 (dpeaa)DE-He213
650		4	\|a oscillatory initial data \|7 (dpeaa)DE-He213
650		4	\|a nonlinear Schrödinger equation \|7 (dpeaa)DE-He213
700	1		\|a Shepelsky, Dmitry \|4 aut
700	1		\|a Zielinski, Lech \|4 aut
773	0	8	\|i Enthalten in \|t Journal of nonlinear mathematical physics \|d Abingdon, Oxon : Taylor & Francis, 1994 \|g 22(2015), 3 vom: Jan., Seite 448-473 \|w (DE-627)325293635 \|w (DE-600)2034956-7 \|x 1776-0852 \|7 nnns
773	1	8	\|g volume:22 \|g year:2015 \|g number:3 \|g month:01 \|g pages:448-473
856	4	0	\|u https://dx.doi.org/10.1080/14029251.2015.1079428 \|z kostenfrei \|3 Volltext
912			\|a GBV_USEFLAG_A
912			\|a SYSFLAG_A
912			\|a GBV_SPRINGER
912			\|a GBV_ILN_20
912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_95
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_213
912			\|a GBV_ILN_230
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 22 \|j 2015 \|e 3 \|c 01 \|h 448-473

Indexfelder

author_variant	s k sk d s ds l z lz
matchkey_str	article:17760852:2015----::oibudrcniinnsokrbefrhfcsnnni
hierarchy_sort_str	2015
publishDate	2015
allfields	10.1080/14029251.2015.1079428 doi (DE-627)SPR054598761 (SPR)14029251.2015.1079428-e DE-627 ger DE-627 rakwb eng Kamvissis, Spyridon verfasserin aut Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2014 Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0. initial boundary value problems (dpeaa)DE-He213 oscillatory initial data (dpeaa)DE-He213 nonlinear Schrödinger equation (dpeaa)DE-He213 Shepelsky, Dmitry aut Zielinski, Lech aut Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 22(2015), 3 vom: Jan., Seite 448-473 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:22 year:2015 number:3 month:01 pages:448-473 https://dx.doi.org/10.1080/14029251.2015.1079428 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 22 2015 3 01 448-473
spelling	10.1080/14029251.2015.1079428 doi (DE-627)SPR054598761 (SPR)14029251.2015.1079428-e DE-627 ger DE-627 rakwb eng Kamvissis, Spyridon verfasserin aut Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2014 Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0. initial boundary value problems (dpeaa)DE-He213 oscillatory initial data (dpeaa)DE-He213 nonlinear Schrödinger equation (dpeaa)DE-He213 Shepelsky, Dmitry aut Zielinski, Lech aut Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 22(2015), 3 vom: Jan., Seite 448-473 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:22 year:2015 number:3 month:01 pages:448-473 https://dx.doi.org/10.1080/14029251.2015.1079428 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 22 2015 3 01 448-473
allfields_unstemmed	10.1080/14029251.2015.1079428 doi (DE-627)SPR054598761 (SPR)14029251.2015.1079428-e DE-627 ger DE-627 rakwb eng Kamvissis, Spyridon verfasserin aut Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2014 Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0. initial boundary value problems (dpeaa)DE-He213 oscillatory initial data (dpeaa)DE-He213 nonlinear Schrödinger equation (dpeaa)DE-He213 Shepelsky, Dmitry aut Zielinski, Lech aut Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 22(2015), 3 vom: Jan., Seite 448-473 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:22 year:2015 number:3 month:01 pages:448-473 https://dx.doi.org/10.1080/14029251.2015.1079428 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 22 2015 3 01 448-473
allfieldsGer	10.1080/14029251.2015.1079428 doi (DE-627)SPR054598761 (SPR)14029251.2015.1079428-e DE-627 ger DE-627 rakwb eng Kamvissis, Spyridon verfasserin aut Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2014 Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0. initial boundary value problems (dpeaa)DE-He213 oscillatory initial data (dpeaa)DE-He213 nonlinear Schrödinger equation (dpeaa)DE-He213 Shepelsky, Dmitry aut Zielinski, Lech aut Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 22(2015), 3 vom: Jan., Seite 448-473 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:22 year:2015 number:3 month:01 pages:448-473 https://dx.doi.org/10.1080/14029251.2015.1079428 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 22 2015 3 01 448-473
allfieldsSound	10.1080/14029251.2015.1079428 doi (DE-627)SPR054598761 (SPR)14029251.2015.1079428-e DE-627 ger DE-627 rakwb eng Kamvissis, Spyridon verfasserin aut Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © the authors 2014 Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0. initial boundary value problems (dpeaa)DE-He213 oscillatory initial data (dpeaa)DE-He213 nonlinear Schrödinger equation (dpeaa)DE-He213 Shepelsky, Dmitry aut Zielinski, Lech aut Enthalten in Journal of nonlinear mathematical physics Abingdon, Oxon : Taylor & Francis, 1994 22(2015), 3 vom: Jan., Seite 448-473 (DE-627)325293635 (DE-600)2034956-7 1776-0852 nnns volume:22 year:2015 number:3 month:01 pages:448-473 https://dx.doi.org/10.1080/14029251.2015.1079428 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 22 2015 3 01 448-473
language	English
source	Enthalten in Journal of nonlinear mathematical physics 22(2015), 3 vom: Jan., Seite 448-473 volume:22 year:2015 number:3 month:01 pages:448-473
sourceStr	Enthalten in Journal of nonlinear mathematical physics 22(2015), 3 vom: Jan., Seite 448-473 volume:22 year:2015 number:3 month:01 pages:448-473
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	initial boundary value problems oscillatory initial data nonlinear Schrödinger equation
isfreeaccess_bool	true
container_title	Journal of nonlinear mathematical physics
authorswithroles_txt_mv	Kamvissis, Spyridon @@aut@@ Shepelsky, Dmitry @@aut@@ Zielinski, Lech @@aut@@
publishDateDaySort_date	2015-01-01T00:00:00Z
hierarchy_top_id	325293635
id	SPR054598761
language_de	englisch
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">SPR054598761</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20240131064722.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">240131s2015 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1080/14029251.2015.1079428</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR054598761</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)14029251.2015.1079428-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kamvissis, Spyridon</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© the authors 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">initial boundary value problems</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">oscillatory initial data</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">nonlinear Schrödinger equation</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shepelsky, Dmitry</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zielinski, Lech</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of nonlinear mathematical physics</subfield><subfield code="d">Abingdon, Oxon : Taylor & Francis, 1994</subfield><subfield code="g">22(2015), 3 vom: Jan., Seite 448-473</subfield><subfield code="w">(DE-627)325293635</subfield><subfield code="w">(DE-600)2034956-7</subfield><subfield code="x">1776-0852</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:22</subfield><subfield code="g">year:2015</subfield><subfield code="g">number:3</subfield><subfield code="g">month:01</subfield><subfield code="g">pages:448-473</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1080/14029251.2015.1079428</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_63</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_151</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_170</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_213</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_230</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4037</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4112</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4249</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4322</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4326</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4367</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">22</subfield><subfield code="j">2015</subfield><subfield code="e">3</subfield><subfield code="c">01</subfield><subfield code="h">448-473</subfield></datafield></record></collection>
author	Kamvissis, Spyridon
spellingShingle	Kamvissis, Spyridon misc initial boundary value problems misc oscillatory initial data misc nonlinear Schrödinger equation Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation
authorStr	Kamvissis, Spyridon
ppnlink_with_tag_str_mv	@@773@@(DE-627)325293635
format	electronic Article
delete_txt_mv	keep
author_role	aut aut aut
collection	springer
remote_str	true
illustrated	Not Illustrated
issn	1776-0852
topic_title	Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation initial boundary value problems (dpeaa)DE-He213 oscillatory initial data (dpeaa)DE-He213 nonlinear Schrödinger equation (dpeaa)DE-He213
topic	misc initial boundary value problems misc oscillatory initial data misc nonlinear Schrödinger equation
topic_unstemmed	misc initial boundary value problems misc oscillatory initial data misc nonlinear Schrödinger equation
topic_browse	misc initial boundary value problems misc oscillatory initial data misc nonlinear Schrödinger equation
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
format_main_str_mv	Text Zeitschrift/Artikel
carriertype_str_mv	cr
hierarchy_parent_title	Journal of nonlinear mathematical physics
hierarchy_parent_id	325293635
hierarchy_top_title	Journal of nonlinear mathematical physics
isfreeaccess_txt	true
familylinks_str_mv	(DE-627)325293635 (DE-600)2034956-7
title	Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation
ctrlnum	(DE-627)SPR054598761 (SPR)14029251.2015.1079428-e
title_full	Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation
author_sort	Kamvissis, Spyridon
journal	Journal of nonlinear mathematical physics
journalStr	Journal of nonlinear mathematical physics
lang_code	eng
isOA_bool	true
recordtype	marc
publishDateSort	2015
contenttype_str_mv	txt
container_start_page	448
author_browse	Kamvissis, Spyridon Shepelsky, Dmitry Zielinski, Lech
container_volume	22
format_se	Elektronische Aufsätze
author-letter	Kamvissis, Spyridon
doi_str_mv	10.1080/14029251.2015.1079428
title_sort	robin boundary condition and shock problem for the focusing nonlinear schrödinger equation
title_auth	Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation
abstract	Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0. © the authors 2014
abstractGer	Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0. © the authors 2014
abstract_unstemmed	Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0. © the authors 2014
collection_details	GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700
container_issue	3
title_short	Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation
url	https://dx.doi.org/10.1080/14029251.2015.1079428
remote_bool	true
author2	Shepelsky, Dmitry Zielinski, Lech
author2Str	Shepelsky, Dmitry Zielinski, Lech
ppnlink	325293635
mediatype_str_mv	c
isOA_txt	true
hochschulschrift_bool	false
doi_str	10.1080/14029251.2015.1079428
up_date	2024-07-04T02:19:31.977Z
_version_	1803613185749549056
fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">SPR054598761</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20240131064722.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">240131s2015 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1080/14029251.2015.1079428</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR054598761</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)14029251.2015.1079428-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kamvissis, Spyridon</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© the authors 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0,t > 0 in the case of periodic initial data, u(x,0) = α exp(−2iβx) (or asymptotically periodic, u(x,0) − α exp(−2iβx) → 0 as x → ∞), and a Robin boundary condition at x = 0: ux(0,t)+qu(0,t) = 0, q ≠ 0. Our approach is based on the unified transform (the Fokas method) combined with symmetry considerations for the corresponding Riemann-Hilbert (RH) problems. We present the representation of the solution of the IBV problem in terms of the solution of an associated RH problem. This representation also allows us to determine an initial value (IV) problem, of a shock type, a solution of which being restricted to the half-line x > 0 is the solution of the original IBV problem. In the case β < 0, the large-time asymptotics of the solution of the IBV problem is presented in the “rarefaction” sector, demonstrating, in particular, an oscillatory behavior of the boundary values in the case q > 0, contrary to the decay to 0 in the case q < 0.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">initial boundary value problems</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">oscillatory initial data</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">nonlinear Schrödinger equation</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shepelsky, Dmitry</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zielinski, Lech</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of nonlinear mathematical physics</subfield><subfield code="d">Abingdon, Oxon : Taylor & Francis, 1994</subfield><subfield code="g">22(2015), 3 vom: Jan., Seite 448-473</subfield><subfield code="w">(DE-627)325293635</subfield><subfield code="w">(DE-600)2034956-7</subfield><subfield code="x">1776-0852</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:22</subfield><subfield code="g">year:2015</subfield><subfield code="g">number:3</subfield><subfield code="g">month:01</subfield><subfield code="g">pages:448-473</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1080/14029251.2015.1079428</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_23</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_39</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_60</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_63</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_69</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_73</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_95</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_105</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_110</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_151</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_161</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_170</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_213</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_230</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_285</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_293</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_370</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_602</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4037</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4112</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4249</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4322</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4326</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4367</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">22</subfield><subfield code="j">2015</subfield><subfield code="e">3</subfield><subfield code="c">01</subfield><subfield code="h">448-473</subfield></datafield></record></collection>
score	7.401602

Nicht das Richtige dabei?

Schreiben Sie uns!

Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation

Nicht das Richtige dabei?

Zugang & Verfügbarkeit

Vorhandene Bände

Nicht das Richtige dabei?