Dalang / Khoshnevisan / Mueller A Minicourse on Stochastic Partial Differential Equations

Erscheinungsjahr 2008
ISBN: 978-3-540-85994-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1962, 222 Seiten, eBook

Reihe: Lecture Notes in Mathematics

In May 2006, The University of Utah hosted an NSF-funded minicourse on stochastic partial differential equations. The goal of this minicourse was to introduce graduate students and recent Ph.D.s to various modern topics in stochastic PDEs, and to bring together several experts whose research is centered on the interface between Gaussian analysis, stochastic analysis, and stochastic partial differential equations. This monograph contains an up-to-date compilation of many of those lectures. Particular emphasis is paid to showcasing central ideas and displaying some of the many deep connections between the mentioned disciplines, all the time keeping a realistic pace for the student of the subject.

Zielgruppe

Research

Autoren/Hrsg.

Dalang, Robert

Khoshnevisan, Davar

Mueller, Carl

Nualart, David

Xiao, Yimin

Rassoul-Agha, Firas

Inhaltsverzeichnis

A Primer on Stochastic Partial Differential Equations.- The Stochastic Wave Equation.- Application of Malliavin Calculus to Stochastic Partial Differential Equations.- Some Tools and Results for Parabolic Stochastic Partial Differential Equations.- Sample Path Properties of Anisotropic Gaussian Random Fields.