Holden / Øksendal / Ubøe Stochastic Partial Differential Equations

A Modeling, White Noise Functional Approach
2. Auflage 2010
ISBN: 978-0-387-89488-1
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 305 Seiten, eBook

Reihe: Universitext

The first edition of , gave a comprehensive introduction to SPDEs. In this, the second edition, the authors build on the theory of SPDEs driven by space-time Brownian motion, or more generally, space-time Lévy process noise.  Applications of the theory are emphasized throughout. The stochastic pressure equation for fluid flow in porous media is treated, as are applications to finance.

Graduate students in pure and applied mathematics as well as researchers in SPDEs, physics, and engineering will find this introduction indispensible. Useful exercises are collected at the end of each chapter.

Zielgruppe

Research

Autoren/Hrsg.

Holden, Helge

Øksendal, Bernt

Ubøe, Jan

Zhang, Tusheng

Inhaltsverzeichnis

Framework.- Applications to Stochastic Ordinary Differential Equations.- Stochastic Partial Differential Equations Driven by Brownian White Noise.- Stochastic Partial Differential Equations Driven by L#x00E9;vy Processes.

Über Autor(innen)

Helge Holden is a professor of mathematics at the Norwegian University of Science and Technology and an adjunt professor at the Center of Mathematics for Applications, part of the University of Oslo.  He has done extensive research in stochastic analysis, in particular in its application to flow in porous media.

Bernt Øksendal is a professor at the Center of Mathematics for Applications at the University of Oslo.  He is a winner of the Nansen Prize for research in stochastic analysis and its applications.

Jan Ubøe is a professor in the Department of Finance and Management Sciences at the Norwegian School of Economics and Business Administration.  He has written many papers about this subject.

Tusheng Zhang is a professor of probability at the University of Manchester.  His current area of research is stochastic differential and partial differential equations, and he recently published a monograph on fractional Brownian fields with Bernt Øksendal and others.