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Stochastic Porous Media Equations

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...

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Bibliographic Details
Main Authors: Barbu, Viorel, Da Prato, Giuseppe (Author), Röckner, Michael (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Lecture Notes in Mathematics
Subjects:
Partial Differential Equations
Fluids
Fluid- And Aerodynamics
Probability Theory And Stochastic Processes
Probabilities
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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

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