Stochastic generalized porous media equations with reflection

Röckner M, Wang F-Y, Zhang T. Stochastic generalized porous media equations with reflection. Stochastic Processes And Their Applications. 2013;123(11):3943-3962.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. (c) 2013 Elsevier B.V. All rights reserved