Existence and Uniqueness of Nonnegative Solutions to the Stochastic Porous Media Equation

Details Existence and Uniqueness of Nonnegative Solutions to the Stochastic Porous Media Equation Existence and Uniqueness of Nonnegative Solutions to the Stochastic Porous Media Equation

2007-03-14

arxiv.org/abs/math/0703420v1

Mathematics

Probability

25 pages

Scientific paper

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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