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2007, 2007(Special): 602-613. doi: 10.3934/proc.2007.2007.602

Asymptotic behavior of solutions to semilinear wave equations with dissipative structure

1. 

Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan

Received  September 2006 Revised  August 2007 Published  September 2007

We study the asymptotic behavior of solutions to semilinear wave equations. The aim of this note is to find a condition on the nonlinearity which guarantees that the corresponding equation has dissipative structure, and to show that asymptotic behavior of the global solution is possibly different from the free solution.
Citation: Hideo Kubo. Asymptotic behavior of solutions to semilinear wave equations with dissipative structure. Conference Publications, 2007, 2007 (Special) : 602-613. doi: 10.3934/proc.2007.2007.602
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