Analysis and control of nonlinear infinite-dimensional systems, Mathematics in Science and Engineering, vol.190, 1993. ,
Nonlinear differential equations of monotone types in Banach spaces, 2010. ,
DOI : 10.1007/978-1-4419-5542-5
Existence and uniqueness of nonnegative solutions to the stochastic porous media equation, Indiana Univ. Math. J, vol.57, issue.1, pp.187-211, 2008. ,
Existence of strong solutions for stochastic porous media equation under general monotonicity conditions, The Annals of Probability, vol.37, issue.2, pp.428-452, 2009. ,
DOI : 10.1214/08-AOP408
Stochastic Porous Media Equations and Self-Organized Criticality, Communications in Mathematical Physics, vol.63, issue.16, 2009. ,
DOI : 10.1007/s00220-008-0651-x
The stochastic porous media equation with multiplicative noise in the whole space ,
Probabilistic representation for solutions of an irregular porous media type equation: the degenerate case. Probab. Theory Related Fields, pp.1-43, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00410248
A probabilistic algorithm approximating solutions of a singular PDE of porous media type, Monte Carlo Methods and Applications, vol.17, issue.4, pp.317-369, 2011. ,
DOI : 10.1515/mcma.2011.014
URL : https://hal.archives-ouvertes.fr/inria-00535806
Uniqueness for Fokker-Planck equations with measurable coefficients and applications to the fast diffusion equation, Electronic Journal of Probability, vol.17, issue.0, p.2012 ,
DOI : 10.1214/EJP.v17-2349
Processus associésassociésà l'´ equation des milieux poreux, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.23, issue.44, pp.793-832, 1996. ,
A semilinear equation in L 1 (R N ), Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.2, issue.44, pp.523-555, 1975. ,
Probabilistic representation for solutions of an irregular porous media type equation, The Annals of Probability, vol.38, issue.5, pp.1870-1900, 2010. ,
DOI : 10.1214/10-AOP526
URL : https://hal.archives-ouvertes.fr/hal-00279975
Uniqueness of solutions of the initialvalue problem for u t ? ??(u) = 0, J. Math. Pures Appl, vol.58, issue.92, pp.153-163, 1979. ,
Stochastic equations in infinite dimensions, volume 44 of Encyclopedia of Mathematics and its Applications, 1992. ,
Some SDEs with distributional drift. I. General calculus, Osaka J. Math, vol.40, issue.2, pp.493-542, 2003. ,
DOI : 10.1515/156939704323074700
Some SDEs with distributional drift. - Part II: Lyons-Zheng structure, It??'s formula and semimartingale characterization, Random Operators and Stochastic Equations, vol.12, issue.2, pp.145-184, 2004. ,
DOI : 10.1163/156939704323074700
Moderate deviations for diffusions with Brownian potentials, The Annals of Probability, vol.32, issue.4, pp.3191-3220, 2004. ,
DOI : 10.1214/009117904000000829
URL : https://hal.archives-ouvertes.fr/hal-00103465
Limit theorems for stochastic processes, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 2003. ,
DOI : 10.1007/978-3-662-02514-7
Convergence en loi des suites d'intégrales stochastiques sur l'espace D 1 de Skorokhod. Probab. Theory Related Fields, pp.111-137, 1989. ,
DOI : 10.1007/bf00343739
Brownian motion and stochastic calculus, Graduate Texts in Mathematics, vol.113, 1991. ,
DOI : 10.1007/978-1-4612-0949-2
On random perturbations of dynamical systems and diffusions with a Brownian potential in dimension one, Stochastic Processes and their Applications, vol.77, issue.1, pp.53-67, 1998. ,
DOI : 10.1016/S0304-4149(98)00015-5
Propagation of chaos for a class of non-linear parabolic equations, Stochastic Differential Equations (Lecture Series in Differential Equations, 1967. ,
Stochastic generalized porous media and fast diffusion equations, Journal of Differential Equations, vol.238, issue.1, pp.118-152, 2007. ,
DOI : 10.1016/j.jde.2007.03.027
URL : http://doi.org/10.1016/j.jde.2007.03.027
A Concise Course on Stochastic Partial Differential Equations, Lecture Notes in Mathematics, 1905. ,
Some parabolic PDEs whose drift is an irregular random noise in space, The Annals of Probability, vol.35, issue.6, pp.2213-2262, 2007. ,
DOI : 10.1214/009117906000001178
URL : https://hal.archives-ouvertes.fr/hal-00019856
Stochastic calculus with respect to continuous finite quadratic variation processes, Stochastics An International Journal of Probability and Stochastic Processes, vol.70, issue.1, pp.1-40, 2000. ,
DOI : 10.1080/17442500008834244
Elements of Stochastic Calculus via Regularization, Séminaire de Probabilités XL, pp.147-185, 2007. ,
DOI : 10.1007/978-3-540-71189-6_7
Monotone operators in Banach space and nonlinear partial differential equations, volume 49 of Mathematical Surveys and Monographs, 1997. ,
Multidimensional diffusion processes, Classics in Mathematics, 2006. ,
DOI : 10.1007/3-540-28999-2
The porous medium equation. Oxford Mathematical Monographs, 2007. ,