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.
قائمة المحتويات
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.
لغة الإنجليزية ● شكل PDF ● صفحات 125 ● ISBN 9781461479345 ● حجم الملف 1.4 MB ● الناشر Springer New York ● مدينة NY ● بلد US ● نشرت 2013 ● للتحميل 24 الشهور ● دقة EUR ● هوية شخصية 2855712 ● حماية النسخ DRM الاجتماعية