ENGLISH

Stochastic equations in infinite dimensions

By Jerzy Zabczyk , Guiseppe Da Prato

Book information

Publisher
Cambridge University Press
Year
1993
ISBN
9780521385299, 0521385296
Language
english
Format
DJVU
Filesize
6 MB (6253106 bytes)
Series
Encyclopedia of Mathematics and its Applications
Pages
242\242
Time added
2009-08-06 05:14:26

Description

The aim of this book is to give a systematic and self-contained presentation of the 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 Gikhman 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 measures 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.

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