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Uniqueness of degenerate Fokker-Planck equations with weakly differentiable drift whose gradient is given by a singular integral

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1.	Title	Title of document	Uniqueness of degenerate Fokker-Planck equations with weakly differentiable drift whose gradient is given by a singular integral
2.	Creator	Author's name, affiliation, country	Dejun Luo; Chinese Academy of Sciences; China
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Fokker--Planck equation, martingale solution, maximal function, singular integral operator
3.	Subject	Subject classification	35Q84, 60H10
4.	Description	Abstract	In this paper we prove the uniqueness of solutions to degenerate Fokker-Planck equations with bounded coefficients, under the additional assumptions that the diffusion coefficient has $W^{1,2}_{loc}$ regularity, while the gradient of the drift coefficient is merely given by a singular integral.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	The Key Lab of RCSDS, CAS (No. 2008DP173182), NSFC (No. 11101407) and AMSS (Y129161ZZ1).
7.	Date	(YYYY-MM-DD)	2014-07-12
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF (), PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/3407
10.	Identifier	Digital Object Identifier	10.1214/ECP.v19-3407
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 19
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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