EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE PLATE EQUATION WITH NONLOCAL NONLINEARITY IN Rn

被引：7

作者：

Khanmamedov, Azer ^{[1
]}

Simsek, Sema ^{[1
]}

机构：

[1] Hacettepe Univ, Dept Math, Fac Sci, TR-06800 Ankara, Turkey

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 01期

关键词：

Plate equation; global attractor; LONG-TIME DYNAMICS; TRANSMISSION PROBLEM; CRITICAL EXPONENT; WAVE; MODEL;

D O I：

10.3934/dcdsb.2016.21.151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Cauchy problem for the semilinear plate equation with nonlocal nonlinearity. Under mild conditions on the damping coefficient, we prove that the semigroup generated by this problem possesses a global attractor.

引用

页码：151 / 172

页数：22

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