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arXiv · 2012.10561

Weighted and maximally hypoelliptic estimates for the Fokker-Planck Operator with electromagnetic fields

Wei-Xi Li·Juan Zeng
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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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Wei-Xi Li, Juan Zeng. 2020-12-19. Weighted and maximally hypoelliptic estimates for the Fokker-Planck Operator with electromagnetic fields. https://arxiv.org/abs/2012.10561

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