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Harnack Inequalities for Stochastic Partial Differential Equations

Harnack Inequalities for Stochastic Partial Differential Equations PDF Author: Feng-Yu Wang
Publisher: Springer Science & Business Media
ISBN: 1461479347
Category : Mathematics
Languages : en
Pages : 135

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Book Description
​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.