Exponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong Dissipation

被引：2

作者：

Ye, Yaojun ^{[1
]}

机构：

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

关键词：

ASYMPTOTIC-BEHAVIOR; EVOLUTION-EQUATIONS; GLOBAL EXISTENCE; NONEXISTENCE;

D O I：

10.1155/2010/357404

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 equations with strong dissipative term u(tt) - Sigma(n)(t=1)(partial derivative/partial derivative x(i))(|partial derivative u/partial derivative x(i)|(p-2)(partial derivative u/partial derivative x(i)))-a Delta u(t) = b|u|(r-2)u in a bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set inW(0)(1,p) (Omega) and showing the exponential decay of the energy of global solutions through the use of an important lemma of V. Komornik.

引用

页数：12

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