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

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

2005-01-22

arxiv.org/abs/math/0501363v3

Mathematics

Analysis of PDEs

corrected version of the outdated article "Uniform bounds and exponential time decay results for the Vlasov-Poisson-Fokker-Pla

Scientific paper

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.

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