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Harnack Inequalities for Stochastic Partial Differential Equations.
・ISBN 978-1-4614-7933-8 paper EUR 49.99
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| 著者・編者 | Wang, Feng-Yu, |
|---|---|
| シリーズ | SpringerBriefs in Mathematics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2013 |
| ページ数 | 125 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-20570＞ |
解説
?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.