Boundary regularity for a fully nonlinear free transmission problem

2024/11/22 by Jesús David, Edgard A. Pimentel, Jesus, David +3 · 1 citation
Engineering · Mathematics · #35B30 #35B65 #35R35 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2411.15335

openalex publication_date 2024/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine boundary regularity for a fully nonlinear free transmission problem. We argue using approximation methods, comparing the operators driving the problem with a limiting profile. Working natural conditions on the data of the problem, we produce regularity estimates in Sobolev and C^1,\rm Log-Lip-spaces. Our findings extend recent developments in the literature to the free boundary setting.

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• A numerical scheme for a fully nonlinear free boundary problem

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