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arXiv 2013-04-03 0 views

Stochastic Generalized Porous Media Equations with Reflection

Röckner, Michael · Wang, Feng-Yu · Zhang, Tusheng

Original · EN

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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