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Malliavin Calculus With Applications to Stochastic Partial Differential Equations

Marta Sanz-Solé
Publisher: 
EPFL Press, distributed by CRC Press
Publication Date: 
2005
Number of Pages: 
162
Format: 
Hardcover
Series: 
Fundamental Sciences
Price: 
84.95
ISBN: 
2-940222-06-1
Category: 
Monograph
We do not plan to review this book.

 Introduction. Integration by Parts and Absolute Continuity of Probability Laws. Finite Dimensional Malliavin Calculus. The Basic Operators of Malliavin Calculus. Representation of Wiener Functionals. Criteria for Absolute Continuity and Smoothness of Probability Laws. Stochastic Partial Differential Equations driven by Spatially Homogenous Gaussian Noise. Malliavin Regularity of Solutions of SPDEs. Analysis of the Malliavin Matrix of Solutions of SPDEs. Definition of Spaces Used Throughout the Course.