Maximal estimates for the Fokker-Planck operator with strong magnetic field
Spectral Theory
2019-09-23 v2 Operator Algebras
Abstract
We consider the Vlasov-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 on a Lie algebra. This estimate makes it possible to give a better characterization of the domain of the closure of the considered operator.
Keywords
Cite
@article{arxiv.1901.08120,
title = {Maximal estimates for the Fokker-Planck operator with strong magnetic field},
author = {Zeinab Karaki},
journal= {arXiv preprint arXiv:1901.08120},
year = {2019}
}