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Stochastic Partial Differential Equations (Record no. 22608)

000 -LEADER
fixed length control field 04533nam a22005055i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151441.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2010 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387894881
978-0-387-89488-1
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA273.A1-274.9
Classification number QA274-274.9
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2
Edition number 23
264 #1 -
-- New York, NY :
-- Springer New York,
-- 2010.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Holden, Helge.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Stochastic Partial Differential Equations
Medium [electronic resource] :
Remainder of title A Modeling, White Noise Functional Approach /
Statement of responsibility, etc by Helge Holden, Bernt Øksendal, Jan Ubøe, Tusheng Zhang.
300 ## - PHYSICAL DESCRIPTION
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Universitext
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface to the Second Edition -- Preface to the First Edition -- Introduction -- Framework -- Applications to stochastic ordinary differential equations -- Stochastic partial differential equations driven by Brownian white noise -- Stochastic partial differential equations driven by Lévy white noise -- Appendix A. The Bochner-Minlos theorem -- Appendix B. Stochastic calculus based on Brownian motion -- Appendix C. Properties of Hermite polynomials -- Appendix D. Independence of bases in Wick products -- Appendix E. Stochastic calculus based on Lévy processes- References -- List of frequently used notation and symbols -- Index.
520 ## - SUMMARY, ETC.
Summary, etc The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs driven by space-time Brownian motion noise. In this, the second edition, the authors extend the theory to include SPDEs driven by 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 key connection between white noise theory and SPDEs is that integration with respect to Brownian random fields can be expressed as integration with respect to the Lebesgue measure of the Wick product of the integrand with Brownian white noise, and similarly with Lévy processes. The first part of the book deals with the classical Brownian motion case. The second extends it to the Lévy white noise case. For SPDEs of the Wick type, a general solution method is given by means of the Hermite transform, which turns a given SPDE into a parameterized family of deterministic PDEs. Applications of this theory are emphasized throughout. 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. From the reviews of the first edition: "The authors have made significant contributions to each of the areas. As a whole, the book is well organized and very carefully written and the details of the proofs are basically spelled out... This is a rich and demanding book… It will be of great value for students of probability theory or SPDEs with an interest in the subject, and also for professional probabilists." —Mathematical Reviews "...a comprehensive introduction to stochastic partial differential equations." —Zentralblatt MATH
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Differential Equations.
Topical term or geographic name as entry element Differential equations, partial.
Topical term or geographic name as entry element Distribution (Probability theory).
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Probability Theory and Stochastic Processes.
Topical term or geographic name as entry element Partial Differential Equations.
Topical term or geographic name as entry element Ordinary Differential Equations.
Topical term or geographic name as entry element Mathematical Modeling and Industrial Mathematics.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Øksendal, Bernt.
Relator term author.
Personal name Ubøe, Jan.
Relator term author.
Personal name Zhang, Tusheng.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9780387894874
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-387-89488-1
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library519.2
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