A simple characterization of H-convergence for a class of nonlocal\n problems

2019/03/27 by José C. Bellido, Bellido, José C., Anton Evgrafov +1
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #FOS: Mathematics #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1903.11585

openalex publication_date 2019/03/27 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

This is a follow-up of a paper by Fern 'andez-Bonder-Ritorto-Salort [8],\nwhere the classical concept of H-convergence was extended to fractional\n (p )-Laplace type operators. In this short paper we provide an explicit\ncharacterization of this notion by demonstrating that the weak-* convergence of\nthe coefficients is an equivalent condition for H-convergence of the sequence\nof nonlocal operators. This result takes advantage of nonlocality and is in\nstark contrast to the local p-Laplacian case\n

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