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

[11] Operator solutions for fractional Fokker-Planck equations
Gorska, K.
Penson, K. A.
Babusci, D.
Dattoli, G.
Duchamp, G. H. E.
PHYSICAL REVIEW E, 2012, 85 (03):
[12] Perturbation theory for the Fokker-Planck operator in chaos
Heninger, Jeffrey M.
Lippolis, Domenico
Cvitanovic, Predrag
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 55 : 16 - 28
[13] The Fokker-Planck operator at a continuous phase transition
Schwartz, M
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (27): : 7507 - 7515
[14] DISCRETIZATION OF THE FOKKER-PLANCK OPERATOR IN THE HOMOGENEOUS CASE
LUCQUINDESREUX, B
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 314 (05): : 407 - 411
[15] A guiding-center Fokker-Planck collision operator for nonuniform magnetic fields
Brizard, AJ
PHYSICS OF PLASMAS, 2004, 11 (09) : 4429 - 4438
[16] Compactness criteria for the resolvent of the Fokker-Planck operator
Li, Wei-Xi
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2018, 18 (01) : 119 - 143
[17] THEORY OF LINEAR FOKKER-PLANCK COLLISION OPERATOR
SU, CH
JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (02) : 248 - &
[18] Quantitative stability estimates for Fokker-Planck equations
Li, Huaiqian
Luo, Dejun
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 122 : 125 - 163
[19] Convergences of the squareroot approximation scheme to the Fokker-Planck operator
Heida, Martin
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2018, 28 (13): : 2599 - 2635
[20] The operator method for solving the fractional Fokker-Planck equation
Elwakil, SA
Zahran, MA
Abdou, MA
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2003, 77 (03): : 317 - 327

← 1 2 3 4 5 →