Maximal estimates for the Fokker-Planck operator with magnetic field (Q2078210)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal estimates for the Fokker-Planck operator with magnetic field |
scientific article |
Statements
Maximal estimates for the Fokker-Planck operator with magnetic field (English)
0 references
28 February 2022
0 references
Summary: We consider the Fokker-Planck operator with a strong external magnetic field. We show a maximal type estimate on this operator using a nilpotent approach on vector field polynomial operators and including the notion of representation of a Lie algebra. This estimate makes it possible to give an optimal characterization of the domain of the closure of the considered operator.
0 references
hypoellipticity
0 references
Fokker-Planck operator
0 references
magnetic field
0 references
Lie algebra
0 references
irreductible representation
0 references
maximal estimate
0 references
0 references
0 references
