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

被引：0

作者：

Wei-Xi Li ^{[1
]}

Juan Zeng ^{[2
]}

机构：

[1] School of Mathematics and Statistics, and Hubei Key Laboratory of Computational Science, Wuhan University

[2] School of Mathematics and Statistics, Wuhan University

来源：

Communications in Mathematical Research | 2021年 / 37卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O212.1 [一般数理统计];

学科分类号：

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.

引用

页码：255 / 270

页数：16

共 50 条

[31] AN OPERATOR SPLITTING SCHEME FOR THE FRACTIONAL KINETIC FOKKER-PLANCK EQUATION
Duong, Manh Hong
Lu, Yulong
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (10) : 5707 - 5727
[32] THE OPERATOR METHOD FOR SOLVING THE MOMENT EQUATION OF FOKKER-PLANCK EQUATION
CHU, FM
FANG, FK
JIANG, L
COMMUNICATIONS IN THEORETICAL PHYSICS, 1987, 7 (02) : 187 - 194
[33] SIMPLIFIED FOKKER-PLANCK OPERATOR FOR UNLIKE-PARTICLE COLLISIONS
ROLLAND, P
REUSS, J
PHYSICS LETTERS A, 1976, 56 (05) : 341 - 342
[34] Analysis of difference schemes for the Fokker-Planck angular diffusion operator
Pouso, oscar Lopez
Segura, Javier
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2025, 181 : 84 - 110
[35] INTEGRAL IDENTITY AND MEASURE ESTIMATES FOR STATIONARY FOKKER-PLANCK EQUATIONS
Huang, Wen
Ji, Min
Liu, Zhenxin
Yi, Yingfei
ANNALS OF PROBABILITY, 2015, 43 (04): : 1712 - 1730
[36] On nonlocal Fokker-Planck equations with nonlinear force fields and perturbations
Ke, Tran Dinh
Quyet, Dao Trong
Thanh, Dang Thi Phuong
MONATSHEFTE FUR MATHEMATIK, 2024, 204 (01): : 81 - 106
[37] Consistency and convergence for a family of finite volume discretizations of the Fokker-Planck operator
Heida, Martin
Kantner, Markus
Stephan, Artur
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2021, 55 (06) : 3017 - 3042
[38] Spectrum of the Fokker-PLanck operator representing diffusion in a random velocity field
Chalker, JT
Wang, ZJ
PHYSICAL REVIEW E, 2000, 61 (01): : 196 - 203
[39] A discretization scheme for the three-dimensional angular Fokker-Planck operator
Morel, Jim E.
Prinja, Anil
McGhee, John M.
Wareing, Todd A.
Franke, Brian C.
NUCLEAR SCIENCE AND ENGINEERING, 2007, 156 (02) : 154 - 163
[40] APPROXIMATE FOKKER-PLANCK COLLISION OPERATOR FOR TRANSPORT-THEORY APPLICATIONS
HIRSHMAN, SP
SIGMAR, DJ
PHYSICS OF FLUIDS, 1976, 19 (10) : 1532 - 1540

← 1 2 3 4 5 →