Stochastic Porous Media Equations

• Main Authors: Barbu, Viorel (Author), Da Prato, Giuseppe (Author), Röckner, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Mathematics, 2163
• Subjects: Mathematics.; Partial differential equations.; Probabilities.; Fluids.; Probability Theory and Stochastic Processes.; Partial Differential Equations.; Fluid- and Aerodynamics.

Focusing 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 reviously been considered by physicists, but rigorous mathe...

Table of Contents:

• Foreword
• Preface
• Introduction
• Equations with Lipschitz nonlinearities
• Equations with maximal monotone nonlinearities
• Variational approach to stochastic porous media equations
• L1-based approach to existence theory for stochastic porous media equations
• The stochastic porous media equations in Rd
• Transition semigroups and ergodicity of invariant measures
• Kolmogorov equations
• A Two analytical inequalities
• Bibliography
• Glossary
• Translator’s note
• Index.