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
Call Number:Libro Electrónico
Main Authors: Barbu, Viorel (Author), Da Prato, Giuseppe (Author), Röckner, Michael (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Lecture Notes in Mathematics, 2163
Subjects:
Probabilities.
Differential equations.
Continuum mechanics.
Probability Theory.
Differential Equations.
Continuum Mechanics.
Online Access:Texto Completo
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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