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

被引:0
作者
Yaojun Ye
机构
[1] Zhejiang University of Science and Technology,Department of Mathematics and Information Science
来源
Journal of Inequalities and Applications | / 2010卷
关键词
Asymptotic Behavior; Global Solution; Global Existence; Hyperbolic Equation; Longitudinal Motion;
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摘要
The initial boundary value problem for a class of hyperbolic equation with nonlinear dissipative term [inline-graphic not available: see fulltext] in a bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set in [inline-graphic not available: see fulltext] and show the asymptotic behavior of the global solutions through the use of an important lemma of Komornik.
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