Global Existence and Asymptotic Behavior of Solutions for Some Nonlinear Hyperbolic Equation

被引：4

作者：

Ye, Yaojun ^{[1
]}

机构：

[1] Zhejiang Univ Sci & Technol, Dept Math & Informat Sci, Hangzhou 310023, Zhejiang, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

NONEXISTENCE THEOREMS; EVOLUTION-EQUATIONS; WAVE-EQUATION;

D O I：

10.1155/2010/895121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial boundary value problem for a class of hyperbolic equation with nonlinear dissipative term u(tt) - Sigma(n)(i=1) (partial derivative/partial derivative x(i))(vertical bar partial derivative u/partial derivative x(i)vertical bar(p-2)(partial derivative u/partial derivative x(i)))+ a vertical bar u(t)vertical bar(q-2)u(t) = b vertical bar u vertical bar(r-2)u in a bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set in W-0(1,p)(Omega) and show the asymptotic behavior of the global solutions through the use of an important lemma of Komornik.

引用

页数：10

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