$G$-convergence of elliptic and parabolic operators depending on vector fields
Analysis of PDEs
2023-04-21 v2 Functional Analysis
Abstract
We consider sequences of elliptic and parabolic operators in divergence form and depending on a family of vector fields. We show compactness results with respect to G-convergence, or H-convergence, by means of the compensated compactness theory, in a setting in which the existence of affine functions is not always guaranteed, due to the nature of the family of vector fields.
Keywords
Cite
@article{arxiv.2107.13321,
title = {$G$-convergence of elliptic and parabolic operators depending on vector fields},
author = {Alberto Maione and Fabio Paronetto and Eugenio Vecchi},
journal= {arXiv preprint arXiv:2107.13321},
year = {2023}
}