Short and long time behavior of the Fokker-Planck equation in a confining potential and applications

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We consider the linear Fokker-Planck equation in a confining potential in space dimension $d \geq 3$. Using spectral methods, we prove bounds on the derivatives of the solution for short and long time, and give some applications.
corrected version of the outdated article "Uniform bounds and exponential time decay results for the Vlasov-Poisson-Fokker-Planck system"

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Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/146421

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501363
 http://arxiv.org/abs/math/0501363

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arXiv