Exponential attractors for the strongly damped wave equations with critical exponent

被引：8

作者：

Zhong, Yansheng ^{[1
]}

机构：

[1] Fujian Normal Univ, Dept Math, Fuzhou 350117, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

关键词：

wave equation; critical nonlinearity; exponential attractor; ASYMPTOTIC REGULARITY; GLOBAL ATTRACTOR; BEHAVIOR;

D O I：

10.1186/s13661-016-0543-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of global attractor and exponential attractor in some stronger spaces for the strongly damped nonlinear wave equation when the nonlinear term f (u, u(t)) depends on ut and contains a critical exponent with respect to u and the external forcing term g merely belongs to the weak space H-1(Omega).

引用

页码：1 / 18

页数：18

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