A simple characterization of $H$-convergence for a class of nonlocal problems
Analysis of PDEs
2019-03-28 v1
Abstract
This is a follow-up of a paper by Fern\'andez-Bonder-Ritorto-Salort [8], where the classical concept of -convergence was extended to fractional -Laplace type operators. In this short paper we provide an explicit characterization of this notion by demonstrating that the weak-* convergence of the coefficients is an equivalent condition for -convergence of the sequence of nonlocal operators. This result takes advantage of nonlocality and is in stark contrast to the local p-Laplacian case
Cite
@article{arxiv.1903.11585,
title = {A simple characterization of $H$-convergence for a class of nonlocal problems},
author = {José C. Bellido and Anton Evgrafov},
journal= {arXiv preprint arXiv:1903.11585},
year = {2019}
}