2 papers
math.PR2013
The stochastic porous media equation in
Viorel Barbu, Michael Röckner, Francesco Russo
Existence and uniqueness of solutions to the stochastic porous media equation $dX-\Dψ(X) dt=XdW$ in $\rr^d$ are studied. Here, is a Wiener process, is a maximal monotone gr…
math.PR2008
Probabilistic representation for solutions of an irregular porous media type equation
Philippe Blanchard, Michael Röckner, Francesco Russo
We consider a porous media type equation over all of with , with monotone discontinuous coefficients with linear growth and prove a probabilistic representation of it…