Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions

被引：35

作者：

Arrieta, JM ^{[1
]}

Carvalho, AN

Rodríguez-Bernal, A

机构：

[1] Univ Complutense Madrid, Dept Matemat Aplicada, Fac Matemat, E-28040 Madrid, Spain

[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat Sao Carlos, BR-13560970 Sao Carlos, SP, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2000年 / 168卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

D O I：

10.1006/jdeq.2000.3876

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：33 / 59

页数：27

共 16 条

[1]

Amann H, 1993, FUNCTION SPACES DIFF, V133, P9, DOI DOI 10.1007/978-3-663-11336-2

[2] Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations [J].

Arrieta, JM ;

Carvalho, AN .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (01) :285-310

[3] Parabolic problems with nonlinear boundary conditions and critical nonlinearities [J].

Arrieta, JM ;

Carvalho, AN ;

Rodríguez-Bernal, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 156 (02) :376-406

[4] Attractors of parabolic problems with nonlinear boundary conditions uniform bounds [J].

Arrieta, JM ;

Carvalho, AN ;

Rodríguez-Bernal, A .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2000, 25 (1-2) :1-37

[5] LARGE DIFFUSION WITH DISPERSION [J].

CARVALHO, AN ;

HALE, JK .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (12) :1139-1151

[6] A SCALAR PARABOLIC EQUATION WHOSE ASYMPTOTIC-BEHAVIOR IS DICTATED BY A SYSTEM OF ORDINARY DIFFERENTIAL-EQUATIONS [J].

CARVALHO, AN ;

PEREIRA, AL .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 112 (01) :81-130

[7] LARGE TIME BEHAVIOR OF SOLUTIONS OF SYSTEMS OF NON-LINEAR REACTION-DIFFUSION EQUATIONS [J].

CONWAY, E ;

HOFF, D ;

SMOLLER, J .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 35 (01) :1-16

[8]

Hale J. K., 1989, Applicable Analysis, V32, P287, DOI 10.1080/00036818908839855

[9]

Hale J. K., 1988, Asymptotic Behavior of Dissipative Systems

[10]

HALE JK, 1987, J MATH PURE APPL, V66, P139

← 1 2 →