Improved regularity for a nonlocal dead-core problem
Analysis of PDEs
2025-11-11 v2
Abstract
We obtain improved regularity results for solutions to a nonlocal dead-core problem at branching points. Our approach, which does not rely on the maximum principle, introduces a new strategy for analyzing two-phase problems within the local framework, an area that remains largely unexplored.
Cite
@article{arxiv.2504.09557,
title = {Improved regularity for a nonlocal dead-core problem},
author = {Disson dos Prazeres and Rafayel Teymurazyan and José Miguel Urbano},
journal= {arXiv preprint arXiv:2504.09557},
year = {2025}
}
Comments
To appear in Indiana Univ. Math. J