Weak solutions to the stochastic porous media equation via Kolmogorov equations: The degenerate case

A stochastic version of the porous medium equation with coloured noise is studied. The corresponding Kolmogorov equation is solved in the space L2(H, ν) where ν is an infinitesimally excessive measure. Then a weak solution is constructed. © 2006 Elsevier Inc. All rights reserved.