Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients

Details Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients

2011-05-24

arxiv.org/abs/1105.4672v2

Mathematics

Analysis of PDEs

11 pages. The proof has been modified

Scientific paper

In this paper we give an affirmative answer to an open question mentioned in
[Le Bris and Lions, Comm. Partial Differential Equations 33 (2008),
1272--1317], that is, we prove the well-posedness of the Fokker-Planck type
equations with Sobolev diffusion coefficients and BV drift coefficients.

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