A Minicourse on Stochastic Partial Differential Equations
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ISBN-13:
9783540859932
Veröffentl:
2008
Einband:
Paperback
Erscheinungsdatum:
21.10.2008
Seiten:
236
Autor:
David Nualart
Gewicht:
365 g
Format:
235x155x13 mm
Serie:
1962, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:
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.
Includes supplementary material: sn.pub/extras
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.
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