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Random Fields and Stochastic Partial Differential Equations: 438 (Mathematics and Its Applications) - Tapa dura
Sinopsis
Book by Rozanov Y
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Reseña del editor
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.
Reseña del editor
This book considers some models described by means of partial differential equations and boundary conditions with chaotic stochastic disturbance. In a framework of stochastic partial differential equations an approach is suggested to generalise solutions of stochastic boundary problems. The main topic concerns probabilistic aspects with applications to the most well-known random fields models which are representative for the corresponding stochastic Sobolev spaces. This work assumes basic knowledge of general analysis and probability, such as Hilbert space methods, Schwartz distributions, and Fourier transforms.
Audience: This volume will be of interest to researchers and postgraduate students whose work involves probability theory, stochastic processes and partial differential equations.
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- EditorialSpringer
- Año de publicación1998
- ISBN 10 0792349849
- ISBN 13 9780792349846
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas244
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Random Fields and Stochastic Partial Differential Equations
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Springer Netherlands, 1998
ISBN 10: 0792349849
ISBN 13: 9780792349846
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Librería: Buchpark, Trebbin, Alemania
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Condición: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 244 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 3031642/2
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Random Fields and Stochastic Partial Differential Equations. Mathematics and Its Applications, Band 438;
Librería: books4less (Versandantiquariat Petra Gros GmbH & Co. KG), Welling, Alemania
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gebundene Ausgabe. Condición: Gut. 229 Seiten; Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.); Schnitt und Einband sind etwas staubschmutzig; der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Text in ENGLISCHER Sprache! Sprache: Englisch Gewicht in Gramm: 540. Nº de ref. del artículo: 1613974
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Random Fields and Stochastic Partial Differential Equations
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Springer Netherlands Mrz 1998, 1998
ISBN 10: 0792349849
ISBN 13: 9780792349846
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 244 pp. Englisch. Nº de ref. del artículo: 9780792349846
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Random Fields and Stochastic Partial Differential Equations (Mathematics and Its Applications, 438)
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Random Fields and Stochastic Partial Differential Equations
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Springer Netherlands, Springer Netherlands, 1998
ISBN 10: 0792349849
ISBN 13: 9780792349846
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9780792349846
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Random Fields and Stochastic Partial Differential Equations
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Random Fields and Stochastic Partial Differential Equations
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Hardback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 550. Nº de ref. del artículo: C9780792349846
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Random Fields and Stochastic Partial Differential Equations (Mathematics and Its Applications, 438)
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Condición: New. Nº de ref. del artículo: ABLIING23Feb2416190182798
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Random Fields and Stochastic Partial Differential Equations (Mathematics and Its Applications, 438)
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Hardcover. Condición: Like New. Like New. book. Nº de ref. del artículo: D8F0-0-M-0792349849-6
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