An attractor for a nonlinear dissipative wave equation of Kirchhoff type

被引：41

作者：

Nakao, Mitsuhiro ^{[1
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Fukuoka 8108560, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 353卷 / 02期

关键词：

'Local' attractor; Kirchhoff equation; H(2) solution; GLOBAL ATTRACTORS; CRITICAL EXPONENT; EXISTENCE; VISCOSITY; STABILITY; TERMS; DECAY;

D O I：

10.1016/j.jmaa.2008.09.010

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 and some absorbing properties of an attractor in a local sense for the initial-boundary value problem of a quasilinear wave equation of Kirchhoff type with a standard dissipation ut. (C) 2008 Elsevier Inc. Ail rights reserved.

引用

页码：652 / 659

页数：8

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