Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients |
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| Authors: | De Jun Luo |
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| Institution: | 1. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, P. R. China
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| Abstract: | Combining Le Bris and Lions’ arguments with Ambrosio’s commutator estimate for BV vector fields, we prove in this paper the existence and uniqueness of solutions to the Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients. |
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