Existence and uniqueness of nonnegative solutions to the stochastic porous media equation
نویسندگان
چکیده
It is proved that the stochastic porous media equation in a bounded domain of R, with multiplicative noise, with a monotone nonlinearity of polynomial growth has a unique nonnegative solution in H−1 (in particular is nonnegative measure-valued), provided the initial data is in H−1 and nonnegative. AMS subject Classification 2000: 76S05, 60H15.
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