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math.PR2007★ 1 cited
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…
math.PR2007★ 1 cited
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…