Dissipativity and global attractors for a class of quasilinear parabolic systems.

被引：71
作者：
Dung, L
机构：
[1] Department of Mathematics, Arizona State University, Tempe
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1997年 / 22卷 / 3-4期
关键词：
Sobolev inequalities; iterative method; A-priori estimates; global attractor; reaction diffusion systems;
D O I：
10.1080/03605309708821269
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that a-priori weak L-p dissipativity implies strong L-infinity dissipativity for a class of weakly coupled quasilinear parabolic systems satisfies general structure conditions. The existence of global attractors of general nonlinear reaction diffusion systems will be proven.
引用
收藏
页码：413 / 433
页数：21
相关论文
共 24 条
[1]  
ALIKAKOS N, 1979, J DIFF EQNS, P201
[2]  
Alikakos N.D., 1979, Commun. Partial Differ. Equ., P827, DOI DOI 10.1080/03605307908820113
[3]   PERMANENCE IN ECOLOGICAL-SYSTEMS WITH SPATIAL HETEROGENEITY [J].
CANTRELL, RS ;
COSNER, C ;
HUTSON, V .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1993, 123 :533-559
[4]  
DiBenedetto E., 1993, Degenerate Parabolic Equations, DOI [DOI 10.1007/978-1-4612-0895-2, 10.1007/978-1-4612-0895-2]
[5]  
DUNG L, EXPONENTIAL ATTRACTO
[6]  
DUNG L, 1996, UNPUB J MATH APPL AN
[7]  
DUNG L, 1996, UNPUB J DIFF EQNS
[8]  
DUNG L, 1996, J DIFF EQNS, P59
[9]  
DUNG L, 1996, UNPUB NONLINEAR ANAL
[10]  
EDEN A, 1995, EXPONENTIAL ATTRACTO
123