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- W4362598986 abstract "After carrying out an overview on the non Euclidean geometrical setting suitable for the study of Kolmogorov operators with rough coefficients, we list some properties of the functional space $mathcal{W}$, mirroring the classical $H^1$ theory for uniformly elliptic operators. Then we provide the reader with the proof of a new Sobolev embedding for functions in $mathcal{W}$. Additionally, after reviewing recent results regarding weak regularity theory, we discuss some of their recent applications to real life problems arising both in Physics and in Economics. Finally, we conclude our analysis stating some recent results regarding the study of nonlinear nonlocal kinetic Kolmogorov-Fokker-Planck operators." @default.
- W4362598986 created "2023-04-06" @default.
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- W4362598986 date "2023-04-03" @default.
- W4362598986 modified "2023-10-14" @default.
- W4362598986 title "New perspectives on recent trends for Kolmogorov operators" @default.
- W4362598986 doi "https://doi.org/10.48550/arxiv.2304.01147" @default.
- W4362598986 hasPublicationYear "2023" @default.
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