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

The initial boundary value problem for a class of hyperbolic equation with nonlinear dissipative term utt-∑i=1n(∂/∂xi)(|∂u/∂xi|p-2(∂u/∂xi))+a|ut|q-2ut=b|u|r-2u in a bounded domain is studied. The existence of global...

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Bibliographic Details
Main Author: Yaojun Ye
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/895121