23 citations · 25 across the 4 of their papers we have counts for
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Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space
Viorel Barbu, Giuseppe Da Prato, Luciano Tubaro
We consider the stochastic reflection problem associated with a self-adjoint operator and a cylindrical Wiener process on a convex set with nonempty interior and regular bo…
Existence of Strong Solutions for Stochastic Porous Media Equation under General Monotonicity Conditions
Viorel Barbu, Giuseppe Da Prato, Michael Röckner
One proves existence and uniqueness of strong solutions to stochastic porous media equations under minimal monotonicity conditions on the nonlinearity. In particular, we do not ass…
Existence and Uniqueness of Nonnegative Solutions to the Stochastic Porous Media Equation
Viorel Barbu, Giuseppe Da Prato, Michael Röckner
One proves that the stochastic porous media equation in 3-D has a unique nonnegative solution for nonnegative initial data in if the nonlinearity is monotone a…
Weak Solutions to the Stochastic Porous Media Equation via Kolmogorov Equations: The Degenerate Case
Viorel Barbu, Vladimir I. Bogachev, Giuseppe Da Prato +1
A stochastic version of the porous medium equation with coloured noise is studied. The corresponding Kolmogorov equation is solved in the space where is an infinites…