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Ergodicity for Infinite Dimensional Systems.
・ISBN 978-0-521-57900-1 paper GB£ 86.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-66282-9
| 著者・編者 | Da Prato, G. / Zabczyk, J., |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1996 |
| ページ数 | 352 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-2446> |
解説
This book is devoted to the asymptotic properties of solutions of stochastic evolution equations in infinite dimensional spaces. It is divided into three parts: Markovian dynamical systems; invariant measures for stochastic evolution equations; invariant measures for specific models. The focus is on models of dynamical processes affected by white noise, which are described by partial differential equations such as the reaction-diffusion equations or Navier-Stokes equations. Besides existence and uniqueness questions, special attention is paid to the asymptotic behaviour of the solutions, to invariant measures and ergodicity. Some of the results found here are presented for the first time. For all whose research interests involve stochastic modelling, dynamical systems, or ergodic theory, this book will be an essential purchase.