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Local energy decay for the wave equation with a nonlinear time-dependent damping
Journal article   Peer reviewed

Local energy decay for the wave equation with a nonlinear time-dependent damping

Ahmed Bchatnia and Moez Daoulatli
Applicable analysis, Vol.92(11), pp.2288-2308
01/11/2013
DOI: https://doi.org/10.1080/00036811.2012.734375

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This article addresses a wave equation on a exterior domain in (d) (d odd) with nonlinear time-dependent dissipation. Under a microlocal geometric condition we prove that the decay rates of the local energy functional are obtained by solving a nonlinear non-autonomous differential equation

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