Weakly elliptic damping gives sharp decay
Analysis of PDEs
2024-03-21 v1 Functional Analysis
Abstract
We prove that weakly elliptic damping gives sharp energy decay for the abstract damped wave semigroup, where the damping is not in the functional calculus. In this case, there is no overdamping. We show applications in linearised water waves and Kelvin--Voigt damping.
Cite
@article{arxiv.2403.13067,
title = {Weakly elliptic damping gives sharp decay},
author = {Lassi Paunonen and Nicolas Vanspranghe and Ruoyu P. T. Wang},
journal= {arXiv preprint arXiv:2403.13067},
year = {2024}
}
Comments
15 pages