Journal article
A simple characterization of H-convergence for a class of nonlocal problems
This is a follow-up of the paper J. Fernández-Bonder, A. Ritorto and A. Salort, H-convergence result for nonlocal elliptic-type problems via Tartar’s method, SIAM J. Math. Anal., 49 (2017), pp. 2387–2408, where the classical concept of H-convergence was extended to fractional p-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 H-convergence of the sequence of nonlocal operators. This result takes advantage of nonlocality and is in stark contrast to the local p-Laplacian case.
Language: | English |
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Publisher: | Springer International Publishing |
Year: | 2021 |
Pages: | 175-183 |
ISSN: | 19882807 and 11391138 |
Types: | Journal article |
DOI: | 10.1007/s13163-020-00349-9 |
ORCIDs: | Evgrafov, Anton and 0000-0001-5750-1349 |