République Tunisienne Ministère de l'Enseignement Supérieur et de la Recherche Scientifique

Samedi 18 Mai 2024

publications

Article

Local energy decay for the wave equation with a nonlinear timedependent damping 

Bchatnia Ahmed, -0001

Applicable Analysis, 92, 11, 2288–2308,

Résumé

This article addresses a wave equation on a exterior domain in Rd (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
This article addresses a wave equation on a exterior domain in R^d (d odd) with nonlinear time-dependent dissipation. Under a microlocal geometriccondition we prove that the decay rates of the local energy functional areobtained by solving a nonlinear non-autonomous differential equation

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