Long-time behaviour of strong solutions of retarded nonlinear PDEs

被引：26

作者：

deMonvel, LB ^{[1
]}

Chueshov, ID ^{[1
]}

Rezounenko, AV ^{[1
]}

机构：

[1] KHARKOV AM GORKII STATE UNIV,DEPT MECH & MATH,UA-310077 KHARKOV,UKRAINE

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1997年 / 22卷 / 9-10期

关键词：

D O I：

10.1080/03605309708821307

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of strong solutions for a class of retarded partial differential equations of second order with respect to the time variable, and study the long-time behaviour of these solutions. We prove the existence of a global finite-dimensional attractor when the parameters of the system range over a ''large'' domain and investigate the dependence of the attractor on these parameters.

引用

页码：1453 / 1474

页数：22

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