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

   
@article{ECP3407,
	author = {Dejun Luo},
	title = {Uniqueness of degenerate Fokker-Planck equations with weakly differentiable drift whose gradient is given by a singular integral},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {Fokker--Planck equation, martingale solution, maximal function, singular integral operator},
	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.},
	pages = {no. 43, 1-14},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3407},    
        url = {http://ecp.ejpecp.org/article/view/3407}}