Unconditional wave decay in dimension two
Analysis of PDEs
2025-07-08 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We extend Burq's logarithmic decay rate [Bur98] to general compactly supported scatterers in dimension two. The main novelty is using recent results on low-frequency expansions to remove the requirement that the spectrum be regular at zero. This allows us to include, among other examples, arbitrary smooth obstacles with variable boundary conditions.
Cite
@article{arxiv.2507.03140,
title = {Unconditional wave decay in dimension two},
author = {T. J. Christiansen and K. Datchev and P. Morales and M. Yang},
journal= {arXiv preprint arXiv:2507.03140},
year = {2025}
}
Comments
13 pages, 2 figures