On the sharp regularity of solutions to hyperbolic boundary value problems

Corentin Audiard

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arXiv · 2206.13293

On the sharp regularity of solutions to hyperbolic boundary value problems

Corentin Audiard

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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.

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Corentin Audiard. 2022-06-27. On the sharp regularity of solutions to hyperbolic boundary value problems. https://arxiv.org/abs/2206.13293

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