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Existence of Strong Solutions for Stochastic Porous Media Equation under General Monotonicity Conditions

Viorel Barbu·Giuseppe Da Prato·Michael Röckner
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Abstract

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 assume continuity of the drift or any growth condition at infinity.

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Viorel Barbu, Giuseppe Da Prato, Michael Röckner. 2007-03-14. Existence of Strong Solutions for Stochastic Porous Media Equation under General Monotonicity Conditions. https://arxiv.org/abs/math/0703421

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