ISBN: 9783540707806 - a concise course on stochastic partial differential equations (lecture notes in mathematics, 1905, band 1905) (8 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. All kinds of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations. To keep the technicalities minimal we confine ourselves to the case where the noise term is given by a stochastic integral w.r.t. a cylindrical Wiener process.But all results can be easily generalized to SPDE with more general noises such as, for instance, stochastic integral w.r.t. a continuous local martingale.There are basically three approaches to analyze SPDE: the 'martingale measure approach', the 'mild solution approach' and the 'variational approach'. The purpose of these notes is to give a concise and as self-contained as possible an introduction to the 'variational approach'. A large part of necessary background material, such as definitions and results from the theory of Hilbert spaces, are included in appendices.…

Taschenbuch. Zustand: Neu. A Concise Course on Stochastic Partial Differential Equations | Claudia Prévot (u. a.) | Taschenbuch | vi | Englisch | 2007 | Springer | EAN 9783540707806 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …