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Stochastic equations in infinite dimensions /
The aim of this book is to give a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. These are a generalization of stochastic differential equations as introduced by Itô and Gikham that occur,...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1992.
|
| Colección: | Encyclopedia of mathematics and its applications ;
volume 44. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 020 | |a 9781107088139 |q (electronic bk.) | ||
| 020 | |a 1107088135 |q (electronic bk.) | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Da Prato, Giuseppe. | |
| 245 | 1 | 0 | |a Stochastic equations in infinite dimensions / |c Giuseppe Da Prato, Jerzy Zabczyk. |
| 264 | 1 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1992. | |
| 300 | |a 1 online resource (xviii, 454 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v volume 45 [i.e. 44] | |
| 504 | |a Includes bibliographical references (pages 427-449) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Lifts of diffusion processes -- Random variables -- Probability measures -- Stochastic processes -- The stochastic integral -- Existence and uniqueness -- Linear equations with additive noise -- Linear equations with multiplicative noise -- Existence and uniqueness for nonlinear equations -- Martingale solutions -- Properties of solutions -- Markov properties and kolmogorov equations -- Absolute continuity and Girsanov's theorem -- Large time nehaviour of solutions -- Small noise noise asymptotic -- A linear deterministic equations -- Some results on control theory -- Nuclear and Hilbert, Schimidt operators -- Dissipative mappings. | |
| 520 | |a The aim of this book is to give a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. These are a generalization of stochastic differential equations as introduced by Itô and Gikham that occur, for instance, when describing random phenomena that crop up in science and engineering, as well as in the study of differential equations. The book is divided into three parts. In the first the authors give a self-contained exposition of the basic properties of probability measure on separable Banach and Hilbert spaces, as required later; they assume a reasonable background in probability theory and finite dimensional stochastic processes. The second part is devoted to the existence and uniqueness of solutions of a general stochastic evolution equation, and the third concerns the qualitative properties of those solutions. Appendices gather together background results from analysis that are otherwise hard to find under one roof. The book ends with a comprehensive bibliography that will contribute to the book's value for all working in stochastic differential equations. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Stochastic partial differential equations. | |
| 650 | 0 | |a Stochastic differential equations. | |
| 650 | 0 | |a Stochastic analysis. | |
| 650 | 0 | |a Semimartingales (Mathematics) | |
| 650 | 6 | |a Équations différentielles stochastiques. | |
| 650 | 6 | |a Analyse stochastique. | |
| 650 | 6 | |a Équations aux dérivées partielles stochastiques. | |
| 650 | 6 | |a Semi-martingales (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Probability & Statistics |x General. |2 bisacsh | |
| 650 | 7 | |a Stochastic differential equations. |2 fast |0 (OCoLC)fst01133506 | |
| 650 | 7 | |a Stochastic analysis. |2 fast |0 (OCoLC)fst01133499 | |
| 650 | 7 | |a Semimartingales (Mathematics) |2 fast |0 (OCoLC)fst01112273 | |
| 650 | 7 | |a Stochastic partial differential equations. |2 fast |0 (OCoLC)fst01133516 | |
| 650 | 7 | |a Banach-Raum |2 gnd | |
| 650 | 7 | |a Gleichung |2 gnd | |
| 650 | 7 | |a Hilbert-Raum |2 gnd | |
| 650 | 7 | |a Stochastik |2 gnd | |
| 650 | 7 | |a Equations aux dérivées partielles stochastiques. |2 ram | |
| 650 | 0 | 7 | |a Banach-Raum. |2 swd |
| 650 | 0 | 7 | |a Gleichung. |2 swd |
| 650 | 0 | 7 | |a Hilbert-Raum. |2 swd |
| 650 | 0 | 7 | |a Stochastik. |2 swd |
| 700 | 1 | |a Zabczyk, Jerzy. | |
| 776 | 0 | 8 | |i Print version: |a Da Prato, Giuseppe. |t Stochastic equations in infinite dimensions |z 0521385296 |w (DLC) 93118317 |w (OCoLC)27768406 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v volume 44. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569300 |z Texto completo |
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