Titlebook: Stochastic Porous Media Equations; Viorel Barbu,Giuseppe Da Prato,Michael Röckner Book 2016 Springer International Publishing Switzerland

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Book 2016ssociated transition semigroup. Stochastic perturbations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found..The porous media equation models a number of different physical phenomena, including the flow

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Equations with Lipschitz Nonlinearities, general maximal monotone graphs . can be approximated by their Yosida approximations .. which are Lipschitz continuous and monotonically increasing. So, several estimates proved in this chapter will be exploited later for studying problems with more general ..

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0075-8434 d finite time extinction results.Presents the state of the aFocusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturbations of the porous media equation have

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978-3-319-41068-5Springer International Publishing Switzerland 2016

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Introduction,This is an introductory chapter mainly devoted to the formulation of problems, models and some preliminaries on convex and infinite dimensional analysis, indispensable for understanding the sequel.

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