On the sharp regularity of solutions to hyperbolic boundary value problems
Analysis of PDEs
2022-06-28 v1
Abstract
We prove some sharp regularity results for solutions of classical first order hyperbolic initial boundary value problems. Our two main improvements on the existing litterature are weaker regularity assumptions for the boundary data and regularity in fractional Sobolev spaces. This last point is specially interesting when the regularity index belongs to 1/2 + N, as it involves nonlocal compatibility conditions.
Keywords
Cite
@article{arxiv.2206.13293,
title = {On the sharp regularity of solutions to hyperbolic boundary value problems},
author = {Corentin Audiard},
journal= {arXiv preprint arXiv:2206.13293},
year = {2022}
}