Regularity for $C^{1,\alpha}$ interface transmission problems
Analysis of PDEs
2022-04-07 v4 Mathematical Physics
math.MP
Abstract
We study existence, uniqueness, and optimal regularity of solutions to transmission problems for harmonic functions with interfaces. For this, we develop a novel geometric stability argument based on the mean value property.
Keywords
Cite
@article{arxiv.2004.07322,
title = {Regularity for $C^{1,\alpha}$ interface transmission problems},
author = {L. A. Caffarelli and M. Soria-Carro and P. R. Stinga},
journal= {arXiv preprint arXiv:2004.07322},
year = {2022}
}
Comments
25 pages, 2 figures