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Random obstacle problemsEcole d'Ete ...

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Random obstacle problemsEcole d'Ete de Probabilites de Saint-Flour XLV - 2015 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Random obstacle problemsby Lorenzo Zambotti.
Reminder of title:	Ecole d'Ete de Probabilites de Saint-Flour XLV - 2015 /
Author:	Zambotti, Lorenzo.
Published:	Cham :Springer International Publishing :2017.
Description:	ix, 162 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Stochastic partial differential equationsCongresses.
Online resource:	http://dx.doi.org/10.1007/978-3-319-52096-4
ISBN:	9783319520964$q(electronic bk.)

Random obstacle problemsEcole d'Ete de Probabilites de Saint-Flour XLV - 2015 /
Zambotti, Lorenzo.

Random obstacle problemsEcole d'Ete de Probabilites de Saint-Flour XLV - 2015 /[electronic resource] :by Lorenzo Zambotti. - Cham :Springer International Publishing :2017. - ix, 162 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21810075-8434 ;. - Lecture notes in mathematics ;2035..

1 Introduction -- 2 The reflecting Brownian motion -- 3 Bessel processes -- 4 The stochastic heat equation -- 5 Obstacle problems -- 6 Integration by Parts Formulae -- 7 The contact set -- References.

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.

ISBN: 9783319520964$q(electronic bk.)

Standard No.: 10.1007/978-3-319-52096-4doiSubjects--Topical Terms:

774268
Stochastic partial differential equations
--Congresses.

LC Class. No.: QA274.25 / .Z36 2017

Dewey Class. No.: 519.22

Random obstacle problemsEcole d'Ete de Probabilites de Saint-Flour XLV - 2015 /
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505 0 $a 1 Introduction -- 2 The reflecting Brownian motion -- 3 Bessel processes -- 4 The stochastic heat equation -- 5 Obstacle problems -- 6 Integration by Parts Formulae -- 7 The contact set -- References.
520 $a 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.
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