Asymptotic properties in parabolic problems dominated by a p-Laplacian operator with localized large diffusion

被引：9

作者：

Carbone, Vera Lucia ^{[1
]}

Gentile, Claudia Buttarello ^{[1
]}

Schiabel-Silva, Karina ^{[1
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 12期

关键词：

p-Laplacian; Localized large diffusion; Attractor; Upper semicontinuity; NONLINEAR BOUNDARY-CONDITIONS; DIFFERENTIAL-INCLUSIONS; ATTRACTORS; SEMIFLOWS; SYSTEMS;

D O I：

10.1016/j.na.2011.03.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with upper semicontinuity of the family of attractors associated with nonlinear reaction-diffusion equations with principal part governed by a degenerate p-Laplacian in which the diffusion d(lambda) blows up in localized regions inside the domain. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：4002 / 4011

页数：10

共 18 条

[1] [Anonymous], 1973, Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert
[2] [Anonymous], 1988, INFINITE DIMENSIONAL
[3] [Anonymous], 1993, DEGENERATE PARABOLIC, DOI DOI 10.1007/978-1-4612-0895-2
[4] Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions
Arrieta, JM
Carvalho, AN
Rodríguez-Bernal, A
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 168 (01) : 33 - 59
[5] Continuity of the dynamics in a localized large diffusion problem with nonlinear boundary conditions
Carbone, Vera Lucia
Carvalho, Alexandre N.
Schiabel-Silva, Karina
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (01) : 69 - 85
[6] LARGE DIFFUSION WITH DISPERSION
CARVALHO, AN
HALE, JK
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (12) : 1139 - 1151
[7] Carvalho AN, 1999, B UNIONE MAT ITAL, V2B, P693
[8] LARGE TIME BEHAVIOR OF SOLUTIONS OF SYSTEMS OF NON-LINEAR REACTION-DIFFUSION EQUATIONS
CONWAY, E
HOFF, D
SMOLLER, J
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 35 (01) : 1 - 16
[9] DAZ JI, 1997, J MATH ANAL APPL, V216, P593
[10] Fast/slow diffusion and collapsing sandpiles
Evans, LC
Feldman, M
Gariepy, RF
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1997, 137 (01) : 166 - 209

← 1 2 →