MAXIMAL ESTIMATES FOR THE FOKKER-PLANCK OPERATOR WITH MAGNETIC FIELD

Zeinab Karaki 1
1 Equations aux dérivées partielles
LMJL - Laboratoire de Mathématiques Jean Leray
Abstract : 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.
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Submitted on : Friday, September 20, 2019 - 1:18:09 PM
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Zeinab Karaki. MAXIMAL ESTIMATES FOR THE FOKKER-PLANCK OPERATOR WITH MAGNETIC FIELD. 2019. ⟨hal-01975164v2⟩

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