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Random Obstacle Problems : École D'été De Probabilités De Saint-flour Xlv

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Studying the fine properties of solutions to Stochastic (Partial) Differential Equations with reflection at a boundary, this book begins with a discussion of classical one-dimensional diffusions as the reflecting Brownian motion, devoting a chapter to Bessel processes, and moves on to function-valued solutions to SPDEs. Inspired by the classical stochastic calculus for diffusions, which is unfortunately still unavailable in infinite dimensions, it uses integration by parts formulae on convex sets of paths in order to describe the behaviour of the solutions at the boundary and the contact set between the solution and the obstacle. The text may serve as an introduction to space-time white noise, SPDEs and monotone gradient systems. Numerous open research problems in both classical and new topics are proposed.

Genre: Mathematics
Series Title: École D'été De Probabilités De Saint-flour
Format: Paperback
Publisher: Springer Verlag
Author: Lorenzo Zambotti
Language: English
Street Date: February 28, 2017
TCIN: 52228285
UPC: 9783319520957
Item Number (DPCI): 248-43-8749

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