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Volume 37, Issue 2
Weighted and Maximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields

Wei-Xi Li & Juan Zeng

DOI: 10.4208/cmr.2020-0055

Commun. Math. Res., 37 (2021), pp. 255-270.

Published online: 2021-04

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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.

  • Keywords

Maximal estimate, global hypoellipticity, Fokker-Planck operator.

  • AMS Subject Headings

35H20, 35Q84

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-37-255, author = {Li , Wei-Xi and Zeng , Juan}, title = {Weighted and Maximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {37}, number = {2}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2020-0055}, url = {http://global-sci.org/intro/article_detail/cmr/18740.html} }
TY - JOUR T1 - Weighted and Maximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields AU - Li , Wei-Xi AU - Zeng , Juan JO - Communications in Mathematical Research VL - 2 SP - 255 EP - 270 PY - 2021 DA - 2021/04 SN - 37 DO - http://doi.org/10.4208/cmr.2020-0055 UR - https://global-sci.org/intro/article_detail/cmr/18740.html KW - Maximal estimate, global hypoellipticity, Fokker-Planck operator. AB -

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.

Wei-Xi Li & Juan Zeng. (2021). Weighted and Maximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields. Communications in Mathematical Research . 37 (2). 255-270. doi:10.4208/cmr.2020-0055
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