On the De Giorgi-Nash-Moser regularity theory for kinetic equations

Authors

  • Francesca Anceschi Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche

DOI:

https://doi.org/10.6092/issn.2240-2829/18846

Keywords:

Kolmogorov-Fokker-Planck equation, Harnack inequality, regularity theory

Abstract

In this note we review some recent results regarding the De Giorgi-Nash-Moser weak regularity theory for Kolmogorov operators obtained in [10] in collaboration with A. Rebucci. To simplify the treatment, we focus on the model case of the Fokker-Planck equation with rough coefficients and we highlight the main steps of the proof of a Harnack inequality for weak solutions.

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Published

2024-01-09

Issue

Vol. 14 No. 2 (2023): Seminars 2023

Section

Articles

License

Copyright (c) 2023 Francesca Anceschi

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 Unported License.