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arXiv · 2107.13321

$G$-convergence of elliptic and parabolic operators depending on vector fields

Alberto Maione·Fabio Paronetto·Eugenio Vecchi
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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.

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Alberto Maione, Fabio Paronetto, Eugenio Vecchi. 2022-04-15. $G$-convergence of elliptic and parabolic operators depending on vector fields. https://doi.org/10.1051/cocv%2F2022084

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