Wave Decay with Singular Damping
Analysis of PDEs
2025-03-10 v1
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.
Cite
@article{arxiv.2503.04917,
title = {Wave Decay with Singular Damping},
author = {Hans Christianson and Emmanuel Schenck and Michael Taylor},
journal= {arXiv preprint arXiv:2503.04917},
year = {2025}
}