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arXiv · 2503.04917

Wave Decay with Singular Damping

Hans Christianson·Emmanuel Schenck·Michael Taylor
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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.

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Hans Christianson, Emmanuel Schenck, Michael Taylor. 2025-03-06. Wave Decay with Singular Damping. https://arxiv.org/abs/2503.04917

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