Perron's solutions for two-phase free boundary problems with distributed sources

2014/11/17 by Daniela De Silva, De Silva, Daniela, Fausto Ferrari +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1411.4637

arxiv created 2014/11/17 · openalex publication_date 2014/11/17 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use Perron method to construct a weak solution to a two-phase free boundary problem with right-hand-side. We thus extend the results of the pioneer work of Caffarelli for the homogeneous case.

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