Improved regularity for a nonlocal dead-core problem

Fuente: arXiv
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Autori principali: Prazeres, Disson dos, Teymurazyan, Rafayel, Urbano, José Miguel
Natura: Preprint
Pubblicazione: 2025
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author Prazeres, Disson dos
Teymurazyan, Rafayel
Urbano, José Miguel
author_facet Prazeres, Disson dos
Teymurazyan, Rafayel
Urbano, José Miguel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09557
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Improved regularity for a nonlocal dead-core problem
Prazeres, Disson dos
Teymurazyan, Rafayel
Urbano, José Miguel
Analysis of PDEs
35R09, 35J60, 35B65, 35B53
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.
title Improved regularity for a nonlocal dead-core problem
topic Analysis of PDEs
35R09, 35J60, 35B65, 35B53
url https://arxiv.org/abs/2504.09557