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].
| Original language | English |
|---|---|
| Pages (from-to) | 143-173 |
| Number of pages | 31 |
| Journal | Rivista di Matematica della Universita di Parma |
| Volume | 15 |
| Issue number | 1 |
| Publication status | Published - 1 Jan 2024 |
Keywords
- De Giorgi-Nash-Moser iteration method
- Fokker-Planck equations
- Hypoelliptic equations