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Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms

Published online by Cambridge University Press:  15 July 2011

Shun-Tang Wu
Shun-Tang Wu
Affiliation:
General Education Center, National Taipei University of Technology, Taipei 106, Taiwan (stwu@ntut.edu.tw)
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Abstract

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An initial–boundary-value problem for a class of wave equations with nonlinear damping and source terms in a bounded domain is considered. We establish the non-existence result of global solutions with the initial energy controlled above by a critical value via the method introduced in a work by Autuori et al. in 2010. This improves the 2009 result of Liu and Wang.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 4 , August 2011 , pp. 865 - 880
Copyright
Copyright © Royal Society of Edinburgh 2011