Stochastic Porous Media Equations

• Κύριοι συγγραφείς: Barbu, Viorel (Συγγραφέας), Da Prato, Giuseppe (Συγγραφέας), Röckner, Michael (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Lecture Notes in Mathematics, 2163
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.