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Random Fields and Stochastic Partial Differential Equations by Y. Rozanov, Paperback | Indigo Chapters
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Indigo
Random Fields and Stochastic Partial Differential Equations by Y. Rozanov, Paperback | Indigo Chapters
From Y. Rozanov
Current price: $160.95
Indigo
Random Fields and Stochastic Partial Differential Equations by Y. Rozanov, Paperback | Indigo Chapters
From Y. Rozanov
Current price: $160.95
Loading Inventory...
Size: 1 x 9.45 x 1
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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 | Random Fields and Stochastic Partial Differential Equations by Y. Rozanov, Paperback | Indigo Chapters