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Mathematics > Analysis of PDEs

arXiv:2503.04917v1 (math)
[Submitted on 6 Mar 2025 ]

Title: Wave Decay with Singular Damping

Title: 具有奇异阻尼的波的衰减

Authors:Hans Christianson, Emmanuel Schenck, Michael Taylor
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.
Abstract: 我们研究了具边界流形上带测度线性阻尼的波动方程的镇定问题。对于一大类测度(该类测度包含超曲面上的狄拉克测度以及支集具有分形结构的测度),我们建立了抽象的能量衰减结果。
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35B40
Cite as: arXiv:2503.04917 [math.AP]
  (or arXiv:2503.04917v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2503.04917
arXiv-issued DOI via DataCite

Submission history

From: Hans Christianson [view email]
[v1] Thu, 6 Mar 2025 19:25:37 UTC (16 KB)
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