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Stochastic Generalized Porous Media Equations with Reflection (1304.0818v1)
Published 3 Apr 2013 in math.PR
Abstract: A non-negative Markovian solution is constructed for a class of stochastic generalized porous media equations with reflection. To this end, some regularity properties and a comparison theorem are proved for stochastic generalized porous media equations, which are interesting by themselves. Invariant probability measures and ergodicity of the solution are also investigated.
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