Location of blow-up set for a semilinear parabolic equation with large diffusion

Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Ishige, Kazuhiro [verfasserIn] Mizoguchi, Noriko

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2003

Schlagwörter:	Parabolic Equation Bounded Smooth Smooth Domain Large Diffusion Bounded Smooth Domain

Anmerkung:	© Springer-Verlag Berlin Heidelberg 2003

Übergeordnetes Werk:	Enthalten in: Mathematische Annalen - Berlin : Springer, 1869, 327(2003), 3 vom: 10. Sept., Seite 487-511
Übergeordnetes Werk:	volume:327 ; year:2003 ; number:3 ; day:10 ; month:09 ; pages:487-511

Links:	Volltext

DOI / URN:	10.1007/s00208-003-0463-4

Katalog-ID:	SPR001884557

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520			\|a Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the set ℳ∪∂Ω, where ${{{{\cal{ M}}}=\{x\in\overline{{\Omega}}:(P_2 \phi)(x) =\max_{{y\in\overline{{\Omega}}}}(P_2 \phi)(y)\}}}$.
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650		4	\|a Bounded Smooth \|7 (dpeaa)DE-He213
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650		4	\|a Large Diffusion \|7 (dpeaa)DE-He213
650		4	\|a Bounded Smooth Domain \|7 (dpeaa)DE-He213
700	1		\|a Mizoguchi, Noriko \|4 aut
773	0	8	\|i Enthalten in \|t Mathematische Annalen \|d Berlin : Springer, 1869 \|g 327(2003), 3 vom: 10. Sept., Seite 487-511 \|w (DE-627)254630715 \|w (DE-600)1462120-4 \|x 1432-1807 \|7 nnns
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912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
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_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_267
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2018
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2070
912			\|a GBV_ILN_2086
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4277
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_4328
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
951			\|a AR
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Indexfelder

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matchkey_str	article:14321807:2003----::oainflwpefrsmlnaprblcqain
hierarchy_sort_str	2003
publishDate	2003
allfields	10.1007/s00208-003-0463-4 doi (DE-627)SPR001884557 (SPR)s00208-003-0463-4-e DE-627 ger DE-627 rakwb eng Ishige, Kazuhiro verfasserin aut Location of blow-up set for a semilinear parabolic equation with large diffusion 2003 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2003 Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the set ℳ∪∂Ω, where ${{{{\cal{ M}}}=\{x\in\overline{{\Omega}}:(P_2 \phi)(x) =\max_{{y\in\overline{{\Omega}}}}(P_2 \phi)(y)\}}}$. Parabolic Equation (dpeaa)DE-He213 Bounded Smooth (dpeaa)DE-He213 Smooth Domain (dpeaa)DE-He213 Large Diffusion (dpeaa)DE-He213 Bounded Smooth Domain (dpeaa)DE-He213 Mizoguchi, Noriko aut Enthalten in Mathematische Annalen Berlin : Springer, 1869 327(2003), 3 vom: 10. Sept., Seite 487-511 (DE-627)254630715 (DE-600)1462120-4 1432-1807 nnns volume:327 year:2003 number:3 day:10 month:09 pages:487-511 https://dx.doi.org/10.1007/s00208-003-0463-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 327 2003 3 10 09 487-511
spelling	10.1007/s00208-003-0463-4 doi (DE-627)SPR001884557 (SPR)s00208-003-0463-4-e DE-627 ger DE-627 rakwb eng Ishige, Kazuhiro verfasserin aut Location of blow-up set for a semilinear parabolic equation with large diffusion 2003 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2003 Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the set ℳ∪∂Ω, where ${{{{\cal{ M}}}=\{x\in\overline{{\Omega}}:(P_2 \phi)(x) =\max_{{y\in\overline{{\Omega}}}}(P_2 \phi)(y)\}}}$. Parabolic Equation (dpeaa)DE-He213 Bounded Smooth (dpeaa)DE-He213 Smooth Domain (dpeaa)DE-He213 Large Diffusion (dpeaa)DE-He213 Bounded Smooth Domain (dpeaa)DE-He213 Mizoguchi, Noriko aut Enthalten in Mathematische Annalen Berlin : Springer, 1869 327(2003), 3 vom: 10. Sept., Seite 487-511 (DE-627)254630715 (DE-600)1462120-4 1432-1807 nnns volume:327 year:2003 number:3 day:10 month:09 pages:487-511 https://dx.doi.org/10.1007/s00208-003-0463-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 327 2003 3 10 09 487-511
allfields_unstemmed	10.1007/s00208-003-0463-4 doi (DE-627)SPR001884557 (SPR)s00208-003-0463-4-e DE-627 ger DE-627 rakwb eng Ishige, Kazuhiro verfasserin aut Location of blow-up set for a semilinear parabolic equation with large diffusion 2003 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2003 Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the set ℳ∪∂Ω, where ${{{{\cal{ M}}}=\{x\in\overline{{\Omega}}:(P_2 \phi)(x) =\max_{{y\in\overline{{\Omega}}}}(P_2 \phi)(y)\}}}$. Parabolic Equation (dpeaa)DE-He213 Bounded Smooth (dpeaa)DE-He213 Smooth Domain (dpeaa)DE-He213 Large Diffusion (dpeaa)DE-He213 Bounded Smooth Domain (dpeaa)DE-He213 Mizoguchi, Noriko aut Enthalten in Mathematische Annalen Berlin : Springer, 1869 327(2003), 3 vom: 10. Sept., Seite 487-511 (DE-627)254630715 (DE-600)1462120-4 1432-1807 nnns volume:327 year:2003 number:3 day:10 month:09 pages:487-511 https://dx.doi.org/10.1007/s00208-003-0463-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 327 2003 3 10 09 487-511
allfieldsGer	10.1007/s00208-003-0463-4 doi (DE-627)SPR001884557 (SPR)s00208-003-0463-4-e DE-627 ger DE-627 rakwb eng Ishige, Kazuhiro verfasserin aut Location of blow-up set for a semilinear parabolic equation with large diffusion 2003 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2003 Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the set ℳ∪∂Ω, where ${{{{\cal{ M}}}=\{x\in\overline{{\Omega}}:(P_2 \phi)(x) =\max_{{y\in\overline{{\Omega}}}}(P_2 \phi)(y)\}}}$. Parabolic Equation (dpeaa)DE-He213 Bounded Smooth (dpeaa)DE-He213 Smooth Domain (dpeaa)DE-He213 Large Diffusion (dpeaa)DE-He213 Bounded Smooth Domain (dpeaa)DE-He213 Mizoguchi, Noriko aut Enthalten in Mathematische Annalen Berlin : Springer, 1869 327(2003), 3 vom: 10. Sept., Seite 487-511 (DE-627)254630715 (DE-600)1462120-4 1432-1807 nnns volume:327 year:2003 number:3 day:10 month:09 pages:487-511 https://dx.doi.org/10.1007/s00208-003-0463-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 327 2003 3 10 09 487-511
allfieldsSound	10.1007/s00208-003-0463-4 doi (DE-627)SPR001884557 (SPR)s00208-003-0463-4-e DE-627 ger DE-627 rakwb eng Ishige, Kazuhiro verfasserin aut Location of blow-up set for a semilinear parabolic equation with large diffusion 2003 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Berlin Heidelberg 2003 Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the set ℳ∪∂Ω, where ${{{{\cal{ M}}}=\{x\in\overline{{\Omega}}:(P_2 \phi)(x) =\max_{{y\in\overline{{\Omega}}}}(P_2 \phi)(y)\}}}$. Parabolic Equation (dpeaa)DE-He213 Bounded Smooth (dpeaa)DE-He213 Smooth Domain (dpeaa)DE-He213 Large Diffusion (dpeaa)DE-He213 Bounded Smooth Domain (dpeaa)DE-He213 Mizoguchi, Noriko aut Enthalten in Mathematische Annalen Berlin : Springer, 1869 327(2003), 3 vom: 10. Sept., Seite 487-511 (DE-627)254630715 (DE-600)1462120-4 1432-1807 nnns volume:327 year:2003 number:3 day:10 month:09 pages:487-511 https://dx.doi.org/10.1007/s00208-003-0463-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 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_63 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_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 327 2003 3 10 09 487-511
language	English
source	Enthalten in Mathematische Annalen 327(2003), 3 vom: 10. Sept., Seite 487-511 volume:327 year:2003 number:3 day:10 month:09 pages:487-511
sourceStr	Enthalten in Mathematische Annalen 327(2003), 3 vom: 10. Sept., Seite 487-511 volume:327 year:2003 number:3 day:10 month:09 pages:487-511
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Parabolic Equation Bounded Smooth Smooth Domain Large Diffusion Bounded Smooth Domain
isfreeaccess_bool	false
container_title	Mathematische Annalen
authorswithroles_txt_mv	Ishige, Kazuhiro @@aut@@ Mizoguchi, Noriko @@aut@@
publishDateDaySort_date	2003-09-10T00:00:00Z
hierarchy_top_id	254630715
id	SPR001884557
language_de	englisch
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author	Ishige, Kazuhiro
spellingShingle	Ishige, Kazuhiro misc Parabolic Equation misc Bounded Smooth misc Smooth Domain misc Large Diffusion misc Bounded Smooth Domain Location of blow-up set for a semilinear parabolic equation with large diffusion
authorStr	Ishige, Kazuhiro
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topic_title	Location of blow-up set for a semilinear parabolic equation with large diffusion Parabolic Equation (dpeaa)DE-He213 Bounded Smooth (dpeaa)DE-He213 Smooth Domain (dpeaa)DE-He213 Large Diffusion (dpeaa)DE-He213 Bounded Smooth Domain (dpeaa)DE-He213
topic	misc Parabolic Equation misc Bounded Smooth misc Smooth Domain misc Large Diffusion misc Bounded Smooth Domain
topic_unstemmed	misc Parabolic Equation misc Bounded Smooth misc Smooth Domain misc Large Diffusion misc Bounded Smooth Domain
topic_browse	misc Parabolic Equation misc Bounded Smooth misc Smooth Domain misc Large Diffusion misc Bounded Smooth Domain
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Location of blow-up set for a semilinear parabolic equation with large diffusion
ctrlnum	(DE-627)SPR001884557 (SPR)s00208-003-0463-4-e
title_full	Location of blow-up set for a semilinear parabolic equation with large diffusion
author_sort	Ishige, Kazuhiro
journal	Mathematische Annalen
journalStr	Mathematische Annalen
lang_code	eng
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author_browse	Ishige, Kazuhiro Mizoguchi, Noriko
container_volume	327
format_se	Elektronische Aufsätze
author-letter	Ishige, Kazuhiro
doi_str_mv	10.1007/s00208-003-0463-4
title_sort	location of blow-up set for a semilinear parabolic equation with large diffusion
title_auth	Location of blow-up set for a semilinear parabolic equation with large diffusion
abstract	Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the set ℳ∪∂Ω, where ${{{{\cal{ M}}}=\{x\in\overline{{\Omega}}:(P_2 \phi)(x) =\max_{{y\in\overline{{\Omega}}}}(P_2 \phi)(y)\}}}$. © Springer-Verlag Berlin Heidelberg 2003
abstractGer	Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the set ℳ∪∂Ω, where ${{{{\cal{ M}}}=\{x\in\overline{{\Omega}}:(P_2 \phi)(x) =\max_{{y\in\overline{{\Omega}}}}(P_2 \phi)(y)\}}}$. © Springer-Verlag Berlin Heidelberg 2003
abstract_unstemmed	Abstract. This paper is concerned with where Ω is a bounded smooth domain in RN, TD>0, D>0, and p>1 with (N−2)p≤N+2. Let P2 be the projection from L2(Ω) onto the second Neumann eigenspace. We prove that, if P2φ≠0 in Ω and D is sufficiently large, the solution u of (P) blows up only near the set ℳ∪∂Ω, where ${{{{\cal{ M}}}=\{x\in\overline{{\Omega}}:(P_2 \phi)(x) =\max_{{y\in\overline{{\Omega}}}}(P_2 \phi)(y)\}}}$. © Springer-Verlag Berlin Heidelberg 2003
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title_short	Location of blow-up set for a semilinear parabolic equation with large diffusion
url	https://dx.doi.org/10.1007/s00208-003-0463-4
remote_bool	true
author2	Mizoguchi, Noriko
author2Str	Mizoguchi, Noriko
ppnlink	254630715
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isOA_txt	false
hochschulschrift_bool	false
doi_str	10.1007/s00208-003-0463-4
up_date	2024-07-04T00:51:30.472Z
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