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Stochastic Differential Equations in Infinite Dimensions: with Applications to Stochastic Partial Differential Equations (Probability and Its Applications) - neues Buch

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Stochastic Differential Equations in Infinite Dimensions - gebunden oder broschiert

ISBN: 9783642161933

Hardback, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG], This volume offers comprehensive coverage of modern techniques used for solving problems in infinite dimensional stoch… Mehr…

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Details zum Buch
Stochastic Differential Equations in Infinite Dimensions: With Applications To Stochastic Partial Differential Equations

The systematic study of existence, uniqueness, and properties of solutions to stochastic differential equations in infinite dimensions arising from practical problems characterizes this volume that is intended for graduate students and for pure and applied mathematicians, physicists, engineers, professionals working with mathematical models of finance. Major methods include compactness, coercivity, monotonicity, in a variety of set-ups. The authors emphasize the fundamental work of Gikhman and Skorokhod on the existence and uniqueness of solutions to stochastic differential equations and present its extension to infinite dimension. They also generalize the work of Khasminskii on stability and stationary distributions of solutions. New results, applications, and examples of stochastic partial differential equations are included. This clear and detailed presentation gives the basics of the infinite dimensional version of the classic books of Gikhman and Skorokhod and of Khasminskii in one concise volume that covers the main topics in infinite dimensional stochastic PDE's. By appropriate selection of material, the volume can be adapted for a 1- or 2-semester course, and can prepare the reader for research in this rapidly expanding area.

Detailangaben zum Buch - Stochastic Differential Equations in Infinite Dimensions: With Applications To Stochastic Partial Differential Equations


EAN (ISBN-13): 9783642161933
ISBN (ISBN-10): 3642161936
Gebundene Ausgabe
Erscheinungsjahr: 2010
Herausgeber: Springer Berlin
291 Seiten
Gewicht: 0,601 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-04-19T18:25:00+02:00 (Berlin)
Detailseite zuletzt geändert am 2022-06-22T17:37:38+02:00 (Berlin)
ISBN/EAN: 9783642161933

ISBN - alternative Schreibweisen:
3-642-16193-6, 978-3-642-16193-3


Daten vom Verlag:

Autor/in: Leszek Gawarecki; Vidyadhar Mandrekar
Titel: Probability and its Applications; Stochastic Differential Equations in Infinite Dimensions - with Applications to Stochastic Partial Differential Equations
Verlag: Springer; Springer Berlin
291 Seiten
Erscheinungsjahr: 2010-12-15
Berlin; Heidelberg; DE
Gedruckt / Hergestellt in Niederlande.
Gewicht: 1,340 kg
Sprache: Englisch
85,59 € (DE)
87,99 € (AT)
94,50 CHF (CH)
POD
XVI, 291 p.

BB; Book; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Wahrscheinlichkeitsrechnung und Statistik; Verstehen; Mathematik; 35-XX, 60-XX; infinite dimensions; stochastic differential equations; partial differential equations; quantitative finance; B; Probability Theory and Stochastic Processes; Partial Differential Equations; Quantitative Finance; Applications of Mathematics; Probability Theory; Differential Equations; Mathematics in Business, Economics and Finance; Applications of Mathematics; Mathematics and Statistics; Stochastik; Differentialrechnung und -gleichungen; Angewandte Mathematik; Wirtschaftswissenschaft, Finanzen, Betriebswirtschaft und Management; Angewandte Mathematik; BC; EA

Preface.- Part I: Stochastic Differential Equations in Infinite Dimensions.- 1.Partial Differential Equations as Equations in Infinite.- 2.Stochastic Calculus.- 3.Stochastic Differential Equations.- 4.Solutions by Variational Method.- 5.Stochastic Differential Equations with Discontinuous Drift.- Part II: Stability, Boundedness, and Invariant Measures.- 6.Stability Theory for Strong and Mild Solutions.- 7.Ultimate Boundedness and Invariant Measure.- References.- Index.

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