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

作　　者：Wei-Xi Li Juan Zeng 

机构地区：[1]School of Mathematics and Statistics,and Hubei Key Laboratory of Compu-tational Science,Wuhan University,Wuhan 430072,China [2]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China

出　　处：《Communications in Mathematical Research》2021年第2期255-270,共16页数学研究通讯（英文版）

基　　金：supported by NSFC(Grant Nos.11961160716,11871054,11771342);Fundamental Research Funds for the Central Universities(Grant No.2042020kf0210)。

摘　　要：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.

关 键 词：Maximal estimate global hypoellipticity Fokker-Planck operator 

分 类 号：O212.1[理学—概率论与数理统计]