Special Session 149: Recent developments in Free Boundary Problems and Nonlinear PDEs

Improved regularity for a nonlocal dead-core problem
Rafayel Teymurazyan
KAUST
Saudi Arabia
Co-Author(s):    D. dos Prazeres, J.M. Urbano
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.