Periodic solutions for wave equations with variable coefficients with nonlinear localized damping

被引：2

作者：

Zhang, Zhifei ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Math & Stat, Wuhan 430074, Peoples R China

[2] Wuhan Univ, Dept Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 363卷 / 02期

关键词：

Periodic solution; Wave equation with variable coefficients; Localized dissipation;

D O I：

10.1016/j.jmaa.2009.09.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the existence of periodic solutions to the wave equation with variable coefficients u(tt) - div(A(x)del u) + p(x, u(t)) = f (x, t) with Dirichlet boundary condition. Here rho(x, nu) is a function like rho(x, nu) = a(x)g(nu) with g'(nu) >= 0 where a(x) is nonnegative, being positive only in a neighborhood of a part of the domain. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：549 / 558

页数：10

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