{"product_id":"9783540707806","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003ePrévôt, Claudia; Röckner, Michael\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThese 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.\u003c\/p\u003e\n\u003cp\u003eThere 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2007-06-08\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540707806\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-540-70781-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 148\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369688162444,"sku":"9783540707806","price":40.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540707806.jpg?v=1775673765","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540707806","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}