Stabilisation of Waves on Product Manifolds by Boundary Strips
Analysis of PDEs
2021-09-10 v1 Mathematical Physics
math.MP
Abstract
We show that a transversely geometrically controlling boundary damping strip is sufficient but not necessary for -decay of waves on product manifolds. We give a general scheme to turn resolvent estimates for impedance problems on cross-sections to wave decay on product manifolds.
Cite
@article{arxiv.2109.03928,
title = {Stabilisation of Waves on Product Manifolds by Boundary Strips},
author = {Ruoyu P. T. Wang},
journal= {arXiv preprint arXiv:2109.03928},
year = {2021}
}
Comments
14 pages, 2 figures