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

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Stochastic Partial Differential Equations : An Introduction
Verlag: Springer International Publishing
Ver�ffentlichungsdatum: 2021
Sprache: Englisch
ISBN-10: 3030890023
ISBN-13: 9783030890025
Bindung: Taschenbuch
Zustand: Neu

�ber diesen Titel

Inhaltsangabe

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.

�ber die Autorin bzw. den Autor

Etienne Pardoux is professor emeritus at the Institut de Math�matiques de Marseille, within Aix Marseille Univ. His research has covered several topics of stochastic analysis, in particular stochastic partial differential equations, backward stochastic differential equations and homogenization. More recently, he has turned his interests towards evolutionary biology and modeling of infectious diseases. He is the author of more than 160 publications, including four books.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

Das Unternehmen AHA-BUCH GmbH: Seit der Gr�ndung von AHA-BUCH im Juli 2005 ist unser Hauptziel, zufriedenen Kunden so schnell und so preisg�nstig wie m�glich ihren B�cherwunsch zu erf�llen. Unsere Firma besch�ftigt 16 Mitarbeiter, die nur ein Ziel kennen: den Kunden und seine W�nsche! Auf �ber 3700 m2 Fl�che haben wir �ber 100.000 B�cher, Modernes Antiquariat und Spiele auf Lager.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

AHA-BUCH GmbH
Garlebsen 48, Einbeck, 37574, Germany

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

Allgemeine Gesch�ftsbedingungen und Kundeninformationen / Datenschutzerkl�rung

I. Allgemeine Gesch�ftsbedingungen

� 1 Grundlegende Bestimmungen

(1) Die nachstehenden Gesch�ftsbedingungen gelten f�r alle Vertr�ge, die Sie mit uns als Anbieter (AHA-BUCH GmbH) �ber die Internetplattformen AbeBooks und/oder ZVAB schlie�en. Soweit nicht anders vereinbart, wird der Einbeziehung gegebenenfalls von Ihnen verwendeter eigener Bedingungen widersprochen.

(2) Verbraucher im Sinne der nachstehenden Regelungen...

Mehr Information

Versandbedingungen

Wir liefern Lagerartikel innerhalb von 24 Stunden nach Erhalt der Bestellung aus.
Barsortimentsartikel, die wir �ber Nacht geliefert bekommen, am darauffolgenden Werktag.
Unser Ziel ist es Ihnen die Artikel in der �konomischten und effizientesten Weise zu senden.

Impressum & Info zum Verk�ufer