Wave Decay with Singular Damping

2025/03/06 by Christianson, Hans, Schenck, Emmanuel, Taylor, Michael
#35B40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.04917

Abstract

We consider the stabilization problem on a manifold with boundary for a wave equation with measure-valued linear damping. For a wide class of measures, containing Dirac masses on hypersurfaces as well as measures with fractal support, we establish an abstract energy decay result.

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