Wave Decay with Singular Damping

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-06
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Wave Decay with Singular Damping

ArXiv.org
Stability and Controllability of Differential Equations
article

Wave Decay with Singular Damping

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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.

ArXiv.org
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Stability and Controllability of Differential Equations
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Wave Decay with Singular Damping · ArXiv.org (2025) | TGRS Research Map | TGRS