Harnack Inequalities for Stochastic Partial Differential Equations
| Autor: | Feng-Yu Wang |
|---|---|
| EAN: | 9781461479345 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 13.08.2013 |
| Kategorie: | |
| Schlagworte: | Harnack inequality Malliavin calculus coupling by change of measures fast-diffusion equations generalized stochastic porous media stochastic delayed differential equations |
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?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.
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