Details

François Golse^[a]

Regularity of solutions of Fokker-Planck equations with rough coefficients

Pages: 143-173
Received: 6 August 2023
Accepted: 25 January 2024
Mathematics Subject Classification: 35H10, 35B65, 35Q84.
Keywords: Fokker-Planck equations, Hypoelliptic equations, De Giorgi-Nash-Moser iteration method.
Authors address:
[a]: École polytechnique & IP Paris, CMLS, 91128 Palaiseau Cedex, France

Abstract: The purpose of this article is to review recent progress on the regularity theory for kinetic models of Fokker-Planck type. Such equations are known to be hypoelliptic, and our aim is to explain how De Giorgi-Nash-Moser iterations can be used on such problems. Most of this note is based on our recent joint work with C. Imbert, C. Mouhot and A. Vasseur [Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. XIX (2019), 253-295].

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