Weighted and Maximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields
Year: 2021
Communications in Mathematical Research , Vol. 37 (2021), Iss. 2 : pp. 255–270
Abstract
We consider a Fokker-Planck operator with electric potential and electromagnetic fields. We establish the sharp weighted and subelliptic estimates, involving the control of the derivatives of electric potential and electromagnetic fields. Our proof relies on a localization argument as well as a careful calculation on commutators.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2020-0055
Communications in Mathematical Research , Vol. 37 (2021), Iss. 2 : pp. 255–270
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Maximal estimate global hypoellipticity Fokker-Planck operator.