On the wave equations with memory in noncylindrical domains

In this paper we prove the exponential and polynomial decays rates in the case $n > 2$, as time approaches infinity of regular solutions of the wave equations with memory $$ u_{tt}-Delta u+int^{t}_{0}g(t-s)Delta u(s)ds=0 quad mbox{in } widehat{Q} $$ where $widehat{Q}$ is a non cylindrical domains...

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Bibliographic Details
Main Author: Mauro de Lima Santos
Format: Article
Language:English
Published: Texas State University 2007-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/128/abstr.html