We consider extensions of the classical Fokker-Planck equation uₜ + ℒu = ∇·(u∇V(x)) on with ℒ = -Δ and V(x) = 1/2|x|², where ℒ is a general operator describing the diffusion and V is a suitable potential.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-24,
author = {Piotr Biler and Grzegorz Karch},
title = {Generalized Fokker-Planck equations and convergence to their equilibria},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {307-318},
zbl = {1024.35013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-24}
}
Piotr Biler; Grzegorz Karch. Generalized Fokker-Planck equations and convergence to their equilibria. Banach Center Publications, Tome 60 (2003) pp. 307-318. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-24/