Well-posedness of Multidimensional Diffusion Processes with Weakly Differentiable Coefficients
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[1] A. Veretennikov. ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS , 1981 .
[2] L. Ambrosio,et al. Well posedness of Lagrangian flows and continuity equations in metric measure spaces , 2014, 1402.4788.
[3] Gianluca Crippa,et al. Uniqueness, Renormalization, and Smooth Approximations for Linear Transport Equations , 2006, SIAM J. Math. Anal..
[4] Michael Röckner,et al. Weak uniqueness of Fokker–Planck equations with degenerate and bounded coefficients , 2010 .
[5] S. V. Shaposhnikov,et al. Uniqueness Problems for Degenerate Fokker–Planck–Kolmogorov Equations , 2015 .
[6] Alessio Figalli,et al. Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients , 2008 .
[7] R. Showalter. Monotone operators in Banach space and nonlinear partial differential equations , 1996 .
[8] Xicheng Zhang. Degenerate irregular SDEs with jumps and application to integro-differential equations of Fokker-Planck type , 2010, 1008.1884.
[9] L. Ambrosio. Transport equation and Cauchy problem for BV vector fields , 2004 .
[10] L. Ambrosio,et al. Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields , 2009 .
[11] A. Davie. Uniqueness of solutions of stochastic differential equations , 2007, 0709.4147.
[12] E. Stepanov,et al. Decomposition of acyclic normal currents in a metric space , 2012, 1303.5664.
[13] L. Ambrosio,et al. On flows associated to Sobolev vector fields in Wiener spaces: an approach \`a la DiPerna-Lions , 2008, 0803.1359.
[14] M. Manhart,et al. Markov Processes , 2018, Introduction to Stochastic Processes and Simulation.
[15] P. Lions,et al. Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients , 2008 .
[16] F. Flandoli,et al. Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift , 2011, 1109.0363.
[17] L. Ambrosio,et al. Gradient Flows: In Metric Spaces and in the Space of Probability Measures , 2005 .
[18] S. Ethier,et al. Markov Processes: Characterization and Convergence , 2005 .
[19] Thomas G. Kurtz,et al. The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities , 2007 .
[20] S. V. Shaposhnikov,et al. On uniqueness problems related to the Fokker–Planck–Kolmogorov equation for measures , 2011 .
[21] P. Lions,et al. Ordinary differential equations, transport theory and Sobolev spaces , 1989 .
[22] Camillo De Lellis,et al. Estimates and regularity results for the DiPerna-Lions flow , 2008 .
[23] Xicheng Zhang,et al. Stochastic flows of SDEs with irregular coefficients and stochastic transport equations , 2009, 0907.4866.
[24] N. Krylov. On Kolmogorov’s equations for finite dimensional diffusions , 1999 .
[25] Michael Röckner,et al. Strong solutions of stochastic equations with singular time dependent drift , 2005 .
[26] D. Gilbarg,et al. Elliptic Partial Differential Equa-tions of Second Order , 1977 .
[27] V. Bogachev,et al. On Parabolic Equations for Measures , 2008 .
[28] Dejun Luo. Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients , 2011, 1105.4672.
[29] T. Kurtz,et al. Existence of Markov Controls and Characterization of Optimal Markov Controls , 1998 .
[30] D. Lépingle,et al. Présentation unifiée de certaines inégalités de la théorie des martingales , 1980 .