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

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

2007-03-14

arxiv.org/abs/math/0703421v1

Mathematics

Probability

31 pages

Scientific paper

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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