Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book gives a concise introduction to the classical theory of stochastic partial differential equations (SPDEs). It begins by describing the classes of equations which are studied later in the book, together with a list of motivating examples of SPDEs which are used in physics, population dynamics, neurophysiology, finance and signal processing. The central part of the book studies SPDEs as infinite-dimensional SDEs, based on the variational approach to PDEs. This extends both the classical It� formulation and the martingale problem approach due to Stroock and Varadhan. The final chapter considers the solution of a space-time white noise-driven SPDE as a real-valued function of time and (one-dimensional) space. The results of J. Walsh's St Flour notes on the existence, uniqueness and H�lder regularity of the solution are presented. In addition, conditions are given under which the solution remains nonnegative, and the Malliavin calculus is applied. Lastly, reflected SPDEs and their connection with super Brownian motion are considered.At a time when new sophisticated branches of the subject are being developed, this book will be a welcome reference on classical SPDEs for newcomers to the theory. 84 pp. Englisch. Bestandsnummer des Verk�ufers 9783030890025

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Stochastic Partial Differential Equations : An Introduction

�tienne Pardoux

Verlag: Springer International Publishing, 2021

ISBN 10: 3030890023 ISBN 13: 9783030890025

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book gives a concise introduction to the classical theory of stochastic partial differential equations (SPDEs). It begins by describing the classes of equations which are studied later in the book, together with a list of motivating examples of SPDEs which are used in physics, population dynamics, neurophysiology, finance and signal processing. The central part of the book studies SPDEs as infinite-dimensional SDEs, based on the variational approach to PDEs. This extends both the classical It� formulation and the martingale problem approach due to Stroock and Varadhan. The final chapter considers the solution of a space-time white noise-driven SPDE as a real-valued function of time and (one-dimensional) space. The results of J. Walsh's St Flour notes on the existence, uniqueness and H�lder regularity of the solution are presented. In addition, conditions are given under which the solution remains nonnegative, and the Malliavin calculus is applied. Lastly, reflected SPDEs and their connection with super Brownian motion are considered.At a time when new sophisticated branches of the subject are being developed, this book will be a welcome reference on classical SPDEs for newcomers to the theory. Bestandsnummer des Verk�ufers 9783030890025

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Stochastic Partial Differential Equations: An Introduction (SpringerBriefs in Mathematics)

Pardoux, �tienne

Verlag: Springer, 2021

ISBN 10: 3030890023 ISBN 13: 9783030890025

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Zustand: New. 1st ed. 2021 edition NO-PA16APR2015-KAP. Bestandsnummer des Verk�ufers 26390224617

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Stochastic Partial Differential Equations

Pardoux, �tienne

Verlag: Springer, Berlin|Springer International Publishing|Springer, 2021

ISBN 10: 3030890023 ISBN 13: 9783030890025

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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book gives a concise introduction to the classical theory of stochastic partial differential equations (SPDEs).This book gives a concise introduction to the classical theory of stochastic partial differential equations (SPDEs). It begins by desc. Bestandsnummer des Verk�ufers 506747994

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