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A non-isotropic free transmission problem governed by quasi-linear\n operators

2020/04/12 by Harish Shrivastava, Shrivastava, Harish
Computer Science · Mathematics · #35A01 #35A15 #35B44 #35D30 #35R35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2004.05669

openalex publication_date 2020/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a free transmission problem in which solution minimizes a functional\nwith different definitions in positive and negative phase of function. We prove\nsome asymptotic regularity results when the jumps of the diffusion coefficients\ngets smaller along the free boundary. At last, we see a measure theoretic\nresult related to the free boundary.\n

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