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.
On the De Giorgi-Nash-Moser regularity theory for kinetic equations [Sulla teoria della regolarità alla De Giorgi-Nash-Moser per equazioni cinetiche]
Anceschi F
2023-01-01
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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