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A note on the global smooth solution to the $p$-system with damping

Published online by Cambridge University Press:  14 July 2008

Songshan Qiao  and
Changjiang Zhu
Songshan Qiao
Affiliation:
Department of Mathematics, Laboratory of Nonlinear Analysis, Central China Normal University, Wuhan 430079, People's Republic of China ([email protected])
Changjiang Zhu
Affiliation:
Department of Mathematics, Laboratory of Nonlinear Analysis, Central China Normal University, Wuhan 430079, People's Republic of China ([email protected])
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Abstract

We prove the existence of the global smooth solutions to $p$-systems with damping under weaker conditions than those given by Lin and Zheng. The analysis is based on several key a priori estimates, which are obtained via the maximum principle.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 2 , April 2008 , pp. 369 - 378
Copyright
2008 Royal Society of Edinburgh

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