$L^{\infty}$-estimates for the Vlasov-Poisson-Fokker-Planck equation.
Pulvirenti, Mario ; Simeoni, Chiara
HAL, hal-00905933 / Harvested from HAL
Text on HAL
We consider the Vlasov-Poisson-Fokker-Planck equation, in three dimensions, as the backward Kolmogorov equation associated with a nonlinear diffusion process. In this way, we derive new $L^{\infty}$-estimates on the spatial density, which are uniform in the diffusion parameters.
Publié le : 2000-07-04
Classification:  uniform energy estimates,  plasma dynamics,  singular potential field,  nonlinear diffusion processes,  stochastic calculus,  uniform energy estimates.,  35B45; 35K55; 35Q72; 60H10; 60J60; 60J65,  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00905933,
     author = {Pulvirenti, Mario and Simeoni, Chiara},
     title = {$L^{\infty}$-estimates for the Vlasov-Poisson-Fokker-Planck equation.},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00905933}
}

Pulvirenti, Mario; Simeoni, Chiara. $L^{\infty}$-estimates for the Vlasov-Poisson-Fokker-Planck equation.. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00905933/