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

被引：0

作者：

Yaojun Ye

机构：

[1] Zhejiang University of Science and Technology,Department of Mathematics and Information Science

来源：

Advances in Difference Equations | / 2010卷

关键词：

Global Solution; Finite Time; Global Existence; Hyperbolic Equation; Longitudinal Motion;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The initial boundary value problem for a class of hyperbolic equations with strong 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 showing the exponential decay of the energy of global solutions through the use of an important lemma of V. Komornik.

引用

共 50 条

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