Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach

by Helge Holden, Bernt Øksendal, Jan Ubøe

The first edition of Stochastic Partial Differential A Modeling, White Noise Functional Approach , 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.

319 pages, Paperback

First published August 1, 1996