Function spaces and Potential Theory, 1996. ,
Diffusions and Elliptic Operators, 1997. ,
Brownian motion with singular drift, Ann. Probab, pp.31-33, 2003. ,
Global L p estimates for degenerate Ornstein-Uhlenbeck operators, Math. Z, vol.266, issue.4, pp.789-816, 2010. ,
Global L p estimates for degenerate Ornstein-Uhlenbeck operators with variable coefficients, Math. Nachr, vol.286, pp.1087-1101, 2013. ,
L p and Schauder estimates for nonvariational operators structured on Hörmander vector fields with drift, Analysis of PDEs, 2011. ,
Strong existence and uniqueness for degenerate SDE with Hölder drift, Probabilités et Statistiques, vol.53, issue.1, pp.259-286, 2017. ,
, Weak regularization by stochastic drift: result and counter example. Discrete and Continuous Dynamical Systems (Series A), pp.38-41, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01333206
Sharp Schauder Estimates for some Degenerate Kolmogorov Equations, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01906573
Regularization effects of a noise propagating through a chain of differential equations: an almost sharp result, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01613679
Averaging along irregular curves and regularisation of ODEs, Stoch. Proc and Appl, pp.126-134, 2016. ,
The transition point in the zero noise limit for a 1d Peano example. Discrete and Continuous Dynamical Systems, vol.34, pp.4071-4083, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00789830
Density estimates for a random noise propagating through a chain of differential equations, Journal of Functional Analysis, pp.259-265, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00436051
Ordinary Differential Equations, transport theory and Sobolev Spaces, Inv. Math, vol.98, pp.511-547, 1989. ,
, Pathwise Uniqueness and Continuous Dependence for SDEs with Nonregular Drift. Stochastics, pp.83-86, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01017947
Regularity of stochastic kinetic equations, Electronic Journal of Probability, vol.22, p.48, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01327394
Random perturbation of PDEs and fluid dynamic models, Lecture Notes in Mathematics, vol.2015, 2010. ,
Partial differential equations of parabolic type, 1964. ,
Existence and asymptotic behaviour of some time-inhomogeneous diffusions, Annales Instit. H. Poincaré, Probabilités et Statistiques, vol.49, issue.1, pp.182-207, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00433274
A Parametrix Approach for some Degenerate Stable Driven SDEs, Annales Instit. H. Poincaré, vol.52, issue.4, pp.1925-1975, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-00947749
Hypoelliptic second order differential equations, Acta Mathematica, vol.119, pp.147-171, 1967. ,
Zufällige Bewegungen (zur Theorie der Brownschen Bewegung), Ann. of Math, vol.2, issue.35, pp.116-117, 1934. ,
Strong solutions of stochastic equations with singular time dependent drift, Prob. Theory Rel. Fields, vol.131, pp.154-196, 2005. ,
Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in R N. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. Serie V, vol.2, 2005. ,
Recent developments in the Navier-Stokes problem, 2002. ,
Parametrix techniques and martingale problems for some degenerate Kolmogorov equations, Electronic Communications in Probability, vol.17, pp.234-250, 2011. ,
Martingale problems for some degenerate Kolmogorov equations, Stoc. Proc. Appl, pp.128-131, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-00969037
Curvature and the eigenvalues of the Laplacian, J. Differential Geometry, vol.1, pp.43-69, 1967. ,
On weak uniqueness for some degenerate SDEs by global L p estimates, Potential Anal, vol.42, issue.1, pp.247-281, 2015. ,
Partial differential equations for probabilists, Cambridge Studies in Advanced Mathematics, vol.112, 2008. ,
Multidimensional diffusion processes, 1979. ,
Theory of function spaces, II, 1983. ,
Strong solutions and explicit formulas for solutions of stochastic integral equations. Matematicheski Sbornik, Novaya Seriya, vol.111, issue.153, pp.434-452, 1980. ,
Stochastic equations with diffusion that degenerates with respect to part of the variables, Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, vol.47, issue.1, pp.189-196, 1983. ,
Degenerate SDE with Holder-Dini drift and non-Lipschitz noise coefficient, SIAM J. Math. Anal, vol.48, issue.3, pp.2189-2226, 2016. ,
Well-posedness and large deviation for degenerate SDEs with Sobolev coefficients, Revista Matematica Iberoamericana, vol.29, issue.1, 2010. ,
Stochastic Hamiltonian flows with singular coefficients, Sci. China Math, vol.61, issue.8, pp.1353-1384, 2018. ,
A transformation of the phase space of a diffusion process that will remove the drift, Mat. Sb. (N.S.), vol.93, issue.135, pp.129-149, 1974. ,