H\"older damping for fractional wave equations
Analysis of PDEs
2025-10-20 v1 Mathematical Physics
math.MP
Abstract
For fractional wave equations with low H\"older regularity damping, we establish quantitative energy decay rates for their solutions when the geometric control condition holds. The energy decay rates depend explicitly on the H\"older regularity of the damping. In particular, we show damping functions with lower H\"older regularities that below a certain threshold give slower energy decay.
Cite
@article{arxiv.2510.15213,
title = {H\"older damping for fractional wave equations},
author = {Jian Wang and Ruoyu P. T. Wang},
journal= {arXiv preprint arXiv:2510.15213},
year = {2025}
}
Comments
10 pages, 1 figure