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2007, Volume 2007: 602-613. Doi: 10.3934/proc.2007.2007.602 open access
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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

Received:  September 2006
Revised:  August 2007
Published:  September 2007
Abstract / Introduction Related Papers Cited by
    Abstract
  • 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.
    Mathematics Subject Classification: Primary: 35L70; Secondary: 35B40.

    Citation:
    shu

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