Existence and Uniqueness of Nonnegative Solutions to the Stochastic Porous Media Equation
classification
🧮 math.PR
keywords
nonnegativeequationmediaporousstochasticdataexistencegrowth
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One proves that the stochastic porous media equation in 3-D has a unique nonnegative solution for nonnegative initial data in $H^{-1}(\mathcal O)$ if the nonlinearity is monotone and has polynomial growth.
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