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Stochastic Partial Differential Equations

A Modeling, White Noise Functional Approach

Language EnglishEnglish
Book Paperback
Book Stochastic Partial Differential Equations Bernt Oksendal
Libristo code: 01383392
Publishers Springer-Verlag New York Inc., December 2009
The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional A... Full description
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The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs. In this, the second edition, the authors build on the theory of SPDEs driven by space-time Brownian motion, or more generally, space-time Lévy process noise, and introduce new applications of the field. Because the authors allow the noise to be in both space and time, the solutions to SPDEs are usually of the distribution type, rather than a classical random field. To make this study rigorous and as general as possible, the discussion of SPDEs is therefore placed in the context of Hida white noise theory. §The first part of the book deals with the classical Brownian motion case; the second extends the Hida white noise theory to the Lévy white noise case. Applications of this theory are emphasized throughout. In particular, the stochastic pressure equation for fluid flow in porous media is treated, as are applications to finance. Graduate students in pure and applied mathematics as well as researchers in SPDEs, physics, and engineering will find this introduction indispensible. Useful exercises are collected at the end of each chapter.

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About the book

Full name Stochastic Partial Differential Equations
Language English
Binding Book - Paperback
Date of issue 2009
Number of pages 305
EAN 9780387894874
ISBN 038789487X
Libristo code 01383392
Weight 490
Dimensions 156 x 226 x 24
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