Driving functions and traces of the Loewner equation

Abstract We consider the chordal Loewner differential equation in the upper half-plane, the behavior of the driving function λ(t) and the generated hull Kt when Kt approaches λ(0) in a fixed direction or in a sector. In the case that the hull Kt is generated by a simple curve γ(t) with γ(0) = 0, we...
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Gespeichert in:

Autor*in:	Wu, HaiHua [verfasserIn] Dong, XinHan [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Loewner equation hull half-plane capacity driving function

Übergeordnetes Werk:	Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 57(2013), 8 vom: 19. Aug., Seite 1615-1624
Übergeordnetes Werk:	volume:57 ; year:2013 ; number:8 ; day:19 ; month:08 ; pages:1615-1624

Links:	Volltext

DOI / URN:	10.1007/s11425-013-4698-6

Katalog-ID:	SPR019139780

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allfields	10.1007/s11425-013-4698-6 doi (DE-627)SPR019139780 (SPR)s11425-013-4698-6-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wu, HaiHua verfasserin aut Driving functions and traces of the Loewner equation 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider the chordal Loewner differential equation in the upper half-plane, the behavior of the driving function λ(t) and the generated hull Kt when Kt approaches λ(0) in a fixed direction or in a sector. In the case that the hull Kt is generated by a simple curve γ(t) with γ(0) = 0, we prove some sharp relations of %$ and %$ as t → 0 which improve the previous work. Loewner equation (dpeaa)DE-He213 hull (dpeaa)DE-He213 half-plane capacity (dpeaa)DE-He213 driving function (dpeaa)DE-He213 Dong, XinHan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 57(2013), 8 vom: 19. Aug., Seite 1615-1624 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:57 year:2013 number:8 day:19 month:08 pages:1615-1624 https://dx.doi.org/10.1007/s11425-013-4698-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 57 2013 8 19 08 1615-1624
spelling	10.1007/s11425-013-4698-6 doi (DE-627)SPR019139780 (SPR)s11425-013-4698-6-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wu, HaiHua verfasserin aut Driving functions and traces of the Loewner equation 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider the chordal Loewner differential equation in the upper half-plane, the behavior of the driving function λ(t) and the generated hull Kt when Kt approaches λ(0) in a fixed direction or in a sector. In the case that the hull Kt is generated by a simple curve γ(t) with γ(0) = 0, we prove some sharp relations of %$ and %$ as t → 0 which improve the previous work. Loewner equation (dpeaa)DE-He213 hull (dpeaa)DE-He213 half-plane capacity (dpeaa)DE-He213 driving function (dpeaa)DE-He213 Dong, XinHan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 57(2013), 8 vom: 19. Aug., Seite 1615-1624 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:57 year:2013 number:8 day:19 month:08 pages:1615-1624 https://dx.doi.org/10.1007/s11425-013-4698-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 57 2013 8 19 08 1615-1624
allfields_unstemmed	10.1007/s11425-013-4698-6 doi (DE-627)SPR019139780 (SPR)s11425-013-4698-6-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wu, HaiHua verfasserin aut Driving functions and traces of the Loewner equation 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider the chordal Loewner differential equation in the upper half-plane, the behavior of the driving function λ(t) and the generated hull Kt when Kt approaches λ(0) in a fixed direction or in a sector. In the case that the hull Kt is generated by a simple curve γ(t) with γ(0) = 0, we prove some sharp relations of %$ and %$ as t → 0 which improve the previous work. Loewner equation (dpeaa)DE-He213 hull (dpeaa)DE-He213 half-plane capacity (dpeaa)DE-He213 driving function (dpeaa)DE-He213 Dong, XinHan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 57(2013), 8 vom: 19. Aug., Seite 1615-1624 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:57 year:2013 number:8 day:19 month:08 pages:1615-1624 https://dx.doi.org/10.1007/s11425-013-4698-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 57 2013 8 19 08 1615-1624
allfieldsGer	10.1007/s11425-013-4698-6 doi (DE-627)SPR019139780 (SPR)s11425-013-4698-6-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wu, HaiHua verfasserin aut Driving functions and traces of the Loewner equation 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider the chordal Loewner differential equation in the upper half-plane, the behavior of the driving function λ(t) and the generated hull Kt when Kt approaches λ(0) in a fixed direction or in a sector. In the case that the hull Kt is generated by a simple curve γ(t) with γ(0) = 0, we prove some sharp relations of %$ and %$ as t → 0 which improve the previous work. Loewner equation (dpeaa)DE-He213 hull (dpeaa)DE-He213 half-plane capacity (dpeaa)DE-He213 driving function (dpeaa)DE-He213 Dong, XinHan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 57(2013), 8 vom: 19. Aug., Seite 1615-1624 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:57 year:2013 number:8 day:19 month:08 pages:1615-1624 https://dx.doi.org/10.1007/s11425-013-4698-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 57 2013 8 19 08 1615-1624
allfieldsSound	10.1007/s11425-013-4698-6 doi (DE-627)SPR019139780 (SPR)s11425-013-4698-6-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wu, HaiHua verfasserin aut Driving functions and traces of the Loewner equation 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We consider the chordal Loewner differential equation in the upper half-plane, the behavior of the driving function λ(t) and the generated hull Kt when Kt approaches λ(0) in a fixed direction or in a sector. In the case that the hull Kt is generated by a simple curve γ(t) with γ(0) = 0, we prove some sharp relations of %$ and %$ as t → 0 which improve the previous work. Loewner equation (dpeaa)DE-He213 hull (dpeaa)DE-He213 half-plane capacity (dpeaa)DE-He213 driving function (dpeaa)DE-He213 Dong, XinHan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 57(2013), 8 vom: 19. Aug., Seite 1615-1624 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:57 year:2013 number:8 day:19 month:08 pages:1615-1624 https://dx.doi.org/10.1007/s11425-013-4698-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 57 2013 8 19 08 1615-1624
language	English
source	Enthalten in Science in China 57(2013), 8 vom: 19. Aug., Seite 1615-1624 volume:57 year:2013 number:8 day:19 month:08 pages:1615-1624
sourceStr	Enthalten in Science in China 57(2013), 8 vom: 19. Aug., Seite 1615-1624 volume:57 year:2013 number:8 day:19 month:08 pages:1615-1624
format_phy_str_mv	Article
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topic_facet	Loewner equation hull half-plane capacity driving function
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author	Wu, HaiHua
spellingShingle	Wu, HaiHua ddc 510 bkl 30.00 bkl 31.00 misc Loewner equation misc hull misc half-plane capacity misc driving function Driving functions and traces of the Loewner equation
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topic_title	510 530 520 ASE 30.00 bkl 31.00 bkl Driving functions and traces of the Loewner equation Loewner equation (dpeaa)DE-He213 hull (dpeaa)DE-He213 half-plane capacity (dpeaa)DE-He213 driving function (dpeaa)DE-He213
topic	ddc 510 bkl 30.00 bkl 31.00 misc Loewner equation misc hull misc half-plane capacity misc driving function
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title	Driving functions and traces of the Loewner equation
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title_full	Driving functions and traces of the Loewner equation
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title_sort	driving functions and traces of the loewner equation
title_auth	Driving functions and traces of the Loewner equation
abstract	Abstract We consider the chordal Loewner differential equation in the upper half-plane, the behavior of the driving function λ(t) and the generated hull Kt when Kt approaches λ(0) in a fixed direction or in a sector. In the case that the hull Kt is generated by a simple curve γ(t) with γ(0) = 0, we prove some sharp relations of %$ and %$ as t → 0 which improve the previous work.
abstractGer	Abstract We consider the chordal Loewner differential equation in the upper half-plane, the behavior of the driving function λ(t) and the generated hull Kt when Kt approaches λ(0) in a fixed direction or in a sector. In the case that the hull Kt is generated by a simple curve γ(t) with γ(0) = 0, we prove some sharp relations of %$ and %$ as t → 0 which improve the previous work.
abstract_unstemmed	Abstract We consider the chordal Loewner differential equation in the upper half-plane, the behavior of the driving function λ(t) and the generated hull Kt when Kt approaches λ(0) in a fixed direction or in a sector. In the case that the hull Kt is generated by a simple curve γ(t) with γ(0) = 0, we prove some sharp relations of %$ and %$ as t → 0 which improve the previous work.
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title_short	Driving functions and traces of the Loewner equation
url	https://dx.doi.org/10.1007/s11425-013-4698-6
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doi_str	10.1007/s11425-013-4698-6
up_date	2024-07-04T00:20:29.126Z
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