L∞-estimates for the Vlasov-Poisson-Fokker-Planck equation

被引：0

作者：

Pulvirenti, M ^{[1
]}

Simeoni, C ^{[1
]}

机构：

[1] Univ Rome La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2000年 / 23卷 / 10期

关键词：

D O I：

10.1002/1099-1476(20000710)23:10<923::AID-MMA143>3.0.CO;2-R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Vlasov-Poisson-Fokker-Planck equation in three dimensions as the backward Kolmogorov equation associated to a non-linear diffusion process. In this way we derive new L-infinity-estimates on the spatial density which are uniform in the diffusion parameters. Copyright (C) 2000 John Wiley & Sons. Ltd.

引用

页码：923 / 935

页数：13

共 50 条

[1] ON THE VLASOV-POISSON-FOKKER-PLANCK EQUATION NEAR MAXWELLIAN
Hwang, Hyung Ju
Jang, Juhi
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (03): : 681 - 691
[2] DIFFUSION LIMIT OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM
El Ghani, Najoua
Masmoudi, Nader
[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 8 (02) : 463 - 479
[3] Steady states of the Vlasov-Poisson-Fokker-Planck system
Glassey, R
Schaeffer, J
Zheng, YX
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (03) : 1058 - 1075
[4] Variational formulations for Vlasov-Poisson-Fokker-Planck systems
Huang, CC
Jordan, R
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2000, 23 (09) : 803 - 843
[5] Regular solutions of the Vlasov-Poisson-Fokker-Planck system
Ono, K
Strauss, WA
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2000, 6 (04) : 751 - 772
[6] Long-time behaviour for solutions of the Vlasov-Poisson-Fokker-Planck equation
Carpio, A
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1998, 21 (11) : 985 - 1014
[7] The Vlasov-Poisson-Fokker-Planck equation in an interval with kinetic absorbing boundary conditions
Hwang, Hyung Ju
Kim, Jinoh
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 129 (01) : 240 - 282
[8] Remarks on the stability of the frictionless Vlasov-Poisson-Fokker-Planck system
Ha, Seung-Yeal
Noh, Se Eun
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (07)
[9] Propagation of chaos for the Vlasov-Poisson-Fokker-Planck equation with a polynomial cut-off
Carrillo, Jose A.
Choi, Young-Pil
Salem, Samir
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2019, 21 (04)
[10] The Vlasov-Poisson-Fokker-Planck system with infinite kinetic energy
Castella, F
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1998, 47 (03) : 939 - 964

← 1 2 3 4 5 →