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arXiv · 1304.0818

Stochastic Generalized Porous Media Equations with Reflection

Michael Röckner·Feng-Yu Wang·Tusheng Zhang
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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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Michael Röckner, Feng-Yu Wang, Tusheng Zhang. 2013-04-03. Stochastic Generalized Porous Media Equations with Reflection. https://arxiv.org/abs/1304.0818

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