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

Authors
Luo, De Jun
Citation
Luo, De Jun, Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients, Acta mathematica Sinica. English series (Print) , 29(2), 2013, pp. 303-314
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
2
Year of publication
2013
Pages
303 - 314
Database
ACNP
SICI code
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.