Feng-Yu Wang

Harnack Inequalities for Stochastic Partial Differential Equations

• Broschiertes Buch

Produktbeschreibung

In this book the author presents a self-contained account of Harnack inequalities and applications for the semigroup of solutions to stochastic partial and delayed differential equations. Since the semigroup refers to Fokker-Planck equations on infinite-dimensional spaces, the Harnack inequalities the author investigates are dimension-free. This is an essentially different point from the above mentioned classical Harnack inequalities. Moreover, the main tool in the study is a new coupling method (called coupling by change of measures) rather than the usual maximum principle in the current literature.

Produktdetails

• SpringerBriefs in Mathematics
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4614-7933-8
• 2013
• Seitenzahl: 136
• Erscheinungstermin: 9. August 2013
• Englisch
• Abmessung: 235mm x 155mm x 8mm
• Gewicht: 230g
• ISBN-13: 9781461479338
• ISBN-10: 1461479339
• Artikelnr.: 38036640

Inhaltsangabe

A General Theory on Dimension-Free Harnack Inequalities.- Non-Linear Monotone Stochastic Partial Differential Equations.- Semi-linear Stochastic Partial Differential Equations .- Stochastic Functional (Partial) Differential Equations.- Non-Linear Monotone Stochastic Partial Differential Equations.- Semi-linear Stochastic Partial Differential Equations.- Stochastic Functional (Partial) Differential Equations.