Random Fields and Stochastic Partial Differential Equations

Language: English

Published by Springer, Springer Dez 2010, 2010

9048150094 / 9789048150090

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Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germanybuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -This book considers some models described by means of partial dif ferential equations and boundary conditions with chaotic stochastic disturbance. In a framework of stochastic Partial Differential Equa tions an approach is suggested to generalize solutions of stochastic Boundary Problems. The main topic concerns probabilistic aspects with applications to well-known Random Fields models which are representative for the corresponding stochastic Sobolev spaces. {The term 'stochastic' in general indicates involvement of appropriate random elements. ) It assumes certain knowledge in general Analysis and Probability {Hilbert space methods, Schwartz distributions, Fourier transform) . I A very general description of the main problems considered can be given as follows. Suppose, we are considering a random field ~ in a region T ~ Rd which is associated with a chaotic (stochastic) source'' by means of the differential equation (\*) in T. A typical chaotic source can be represented by an appropri ate random field'' with independent values, i. e. , generalized random function'' = ( cp, 'TJ), cp E C~(T), with independent random variables ( cp, 'fJ) for any test functions cp with disjoint supports. The property of having independent values implies a certain 'roughness' of the ran dom field '' which can only be treated functionally as a very irregular Schwarz distribution. With the lack of a proper development of non linear analyses for generalized functions, let us limit ourselves to the 1 For related material see, for example, J. L. Lions, E.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 244 pp. Englisch.…

Seller Inventory # 9789048150090

Title
Random Fields and Stochastic Partial Differential Equations
Author
Y. Rozanov
Publisher
Springer, Springer Dez 2010
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9048150094
ISBN 13
9789048150090
Item weight
376 grams
Dimensions
235x155x14 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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