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

2012/09/08 by Bchatnia, A., Daoulatli, M.
#Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1209.1733

Abstract

This paper addresses a wave equation on a exterior domain in R^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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