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Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach - Holden, Helge / Oksendal, Bernt / Uboe, Jan
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Holden, Helge / Oksendal, Bernt / Uboe, Jan:

Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach - gebrauchtes Buch

ISBN: 9780387894874

ID: 1183101

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 LA(c)vy 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 LA(c)vy processes. The first part of the book deals with the classical Brownian motion case. The second extends it to the LA(c)vy 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 booka ] It will be of great value for students of probability theory or SPDEs with an interest in the subject, and also for professional probabilists." a "Mathematical Reviews ..".a comprehensive introduction to stochastic partial differential equations." a "Zentralblatt MATH Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach Holden, Helge / Oksendal, Bernt / Uboe, Jan, Springer

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Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach (Universitext) - Helge Holden, Bernt Øksendal, Jan Ubøe, Tusheng Zhang
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Helge Holden, Bernt Øksendal, Jan Ubøe, Tusheng Zhang:

Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach (Universitext) - Taschenbuch

2009, ISBN: 038789487X

[SR: 1908858], Paperback, [EAN: 9780387894874], Springer, Springer, Book, [PU: Springer], 2009-12-04, Springer, The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functiona...., 278329, Applied Mathematics, 922530, Mathematical Modelling, 278335, Mathematics for Scientists & Engineers, 278419, Physics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278340, Differential Equations, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278385, Probability & Statistics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach (Universitext) - Helge Holden, Bernt Øksendal, Jan Ubøe, Tusheng Zhang
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Helge Holden, Bernt Øksendal, Jan Ubøe, Tusheng Zhang:
Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach (Universitext) - Taschenbuch

2009

ISBN: 038789487X

[SR: 783160], Taschenbuch, [EAN: 9780387894874], Springer, Springer, Book, [PU: Springer], 2009-12-04, Springer, 56251011, Differentialgleichung, 56248011, Angewandte Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56254011, Wahrscheinlichkeit & Statistik, 56248011, Angewandte Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56217011, Mathematische Analyse, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach (Universitext) - Helge Holden, Bernt Øksendal, Jan Ubøe, Tusheng Zhang
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Helge Holden, Bernt Øksendal, Jan Ubøe, Tusheng Zhang:
Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach (Universitext) - Taschenbuch

2009, ISBN: 038789487X

[SR: 783160], Taschenbuch, [EAN: 9780387894874], Springer, Springer, Book, [PU: Springer], 2009-12-04, Springer, 56251011, Differentialgleichung, 56248011, Angewandte Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56254011, Wahrscheinlichkeit & Statistik, 56248011, Angewandte Mathematik, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher, 56217011, Mathematische Analyse, 56214011, Mathematik, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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Stochastic Partial Differential Equations A Modeling, White Noise Approach - Holden, Helge; Oksendal, Bernt; Uboe, Jan; Zhang, Tusheng
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2009, ISBN: 038789487X

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Details zum Buch
Stochastic Partial Differential Equations
Autor:

Holden, Helge; Oksendal, Bernt; Uboe, Jan; Zhang, Tusheng

Titel:

Stochastic Partial Differential Equations

ISBN-Nummer:

9780387894874

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. Applications of the 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.

Detailangaben zum Buch - Stochastic Partial Differential Equations


EAN (ISBN-13): 9780387894874
ISBN (ISBN-10): 038789487X
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2009
Herausgeber: Springer-Verlag GmbH
305 Seiten
Gewicht: 0,478 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 01.07.2009 13:41:18
Buch zuletzt gefunden am 27.10.2016 13:30:09
ISBN/EAN: 9780387894874

ISBN - alternative Schreibweisen:
0-387-89487-X, 978-0-387-89487-4

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