Doubly probabilistic representation for the stochastic porous media type   equation
  The purpose of the present paper consists in proposing and discussing a doubly probabilistic representation for a stochastic porous media equation in the whole space R^1 perturbed by a multiplicative coloured noise. For almost all random realizations $\omega$, one associates a stochastic differential equation in law with random coefficients, driven by an independent Brownian motion. 
Viorel Barbu, Michael R\"ockner, Francesco Russo (ENSTA ParisTech UMA)
math.PR