V. Barbu, Analysis and control of nonlinear infinite-dimensional systems, Mathematics in Science and Engineering, vol.190, 1993.

V. Barbu, Nonlinear differential equations of monotone types in Banach spaces, 2010.
DOI : 10.1007/978-1-4419-5542-5

V. Barbu, G. D. Prato, and M. Röckner, Existence and uniqueness of nonnegative solutions to the stochastic porous media equation, Indiana Univ. Math. J, vol.57, issue.1, pp.187-211, 2008.

V. Barbu, G. D. Prato, and M. Röckner, 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

V. Barbu, G. D. Prato, and M. Röckner, Stochastic Porous Media Equations and Self-Organized Criticality, Communications in Mathematical Physics, vol.63, issue.16, 2009.
DOI : 10.1007/s00220-008-0651-x

V. Barbu, M. Röckner, and F. Russo, The stochastic porous media equation with multiplicative noise in the whole space

V. Barbu, M. Röckner, and F. Russo, 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

N. Belaribi, F. Cuvelier, and F. Russo, 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

N. Belaribi and F. Russo, 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

S. Benachour, P. Chassaing, B. Roynette, and P. Vallois, Processus associésassociésà l'´ equation des milieux poreux, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.23, issue.44, pp.793-832, 1996.

P. Benilan, H. Brezis, and M. G. Crandall, A semilinear equation in L 1 (R N ), Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.2, issue.44, pp.523-555, 1975.

P. Blanchard, M. Röckner, and F. Russo, 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

H. Brezis and M. G. Crandall, Uniqueness of solutions of the initialvalue problem for u t ? ??(u) = 0, J. Math. Pures Appl, vol.58, issue.92, pp.153-163, 1979.

G. Da, P. , and J. Zabczyk, Stochastic equations in infinite dimensions, volume 44 of Encyclopedia of Mathematics and its Applications, 1992.

F. Flandoli, F. Russo, and J. Wolf, Some SDEs with distributional drift. I. General calculus, Osaka J. Math, vol.40, issue.2, pp.493-542, 2003.
DOI : 10.1515/156939704323074700

F. Flandoli, F. Russo, and J. Wolf, 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

Y. Hu and Z. Shi, 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

J. Jacod and A. N. Shiryaev, Limit theorems for stochastic processes, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 2003.
DOI : 10.1007/978-3-662-02514-7

A. Jakubowski, J. Mémin, and G. Pagès, 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

I. Karatzas and S. E. Shreve, Brownian motion and stochastic calculus, Graduate Texts in Mathematics, vol.113, 1991.
DOI : 10.1007/978-1-4612-0949-2

P. Mathieu, 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

H. P. Jr and . Mckean, Propagation of chaos for a class of non-linear parabolic equations, Stochastic Differential Equations (Lecture Series in Differential Equations, 1967.

J. Ren, M. Röckner, and F. Wang, 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

M. Röckner and C. Prévôt, A Concise Course on Stochastic Partial Differential Equations, Lecture Notes in Mathematics, 1905.

F. Russo and G. Trutnau, 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

F. Russo and P. Vallois, 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

F. Russo and P. Vallois, Elements of Stochastic Calculus via Regularization, Séminaire de Probabilités XL, pp.147-185, 2007.
DOI : 10.1007/978-3-540-71189-6_7

R. E. Showalter, Monotone operators in Banach space and nonlinear partial differential equations, volume 49 of Mathematical Surveys and Monographs, 1997.

D. W. Stroock and S. R. Varadhan, Multidimensional diffusion processes, Classics in Mathematics, 2006.
DOI : 10.1007/3-540-28999-2

J. L. Vázquez, The porous medium equation. Oxford Mathematical Monographs, 2007.