Weighted and Maximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields

Authors

  • Wei-Xi Li
  • Juan Zeng

DOI:

https://doi.org/10.4208/cmr.2020-0055

Keywords:

Maximal estimate, global hypoellipticity, Fokker-Planck operator.

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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Published

2021-04-02

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Issue

Vol. 37 No. 2 (2021)

Section

Articles

How to Cite

Weighted and Maximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields. (2021). Communications in Mathematical Research, 37(2), 255-270. https://doi.org/10.4208/cmr.2020-0055