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Stochastic Analysis: A Series of LecturesStochastic Geometric Wave Equations

Stochastic Analysis: A Series of Lectures: Stochastic Geometric Wave Equations [In these lecture notes we have attempted to elucidate the ideas behind the proof of the global existence of solutions to stochastic geometric wave equations whose solutions take values in a special class of Riemannian manifolds (which includes the two-dimensional sphere) published recently by the authors, see [10]. In particular, we aimed at those readers who could be frightened by the language of differential geometry.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Stochastic Analysis: A Series of LecturesStochastic Geometric Wave Equations

Part of the Progress in Probability Book Series (volume 68)
Editors: Dalang, Robert C.; Dozzi, Marco; Flandoli, Franco; Russo, Francesco
Brzeźniak, Zdzisław; Ondreját, Martin
Stochastic Analysis: A Series of Lectures — May 15, 2015
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References (5)

Publisher
Springer Basel
Copyright
© Springer Basel 2015
ISBN
978-3-0348-0908-5
Pages
157 –188
DOI
10.1007/978-3-0348-0909-2_6
Publisher site
See Chapter on Publisher Site

Abstract

[In these lecture notes we have attempted to elucidate the ideas behind the proof of the global existence of solutions to stochastic geometric wave equations whose solutions take values in a special class of Riemannian manifolds (which includes the two-dimensional sphere) published recently by the authors, see [10]. In particular, we aimed at those readers who could be frightened by the language of differential geometry.]

Published: May 15, 2015

Keywords: Stochastic wave equation; Riemannian manifold; homogeneous space; Primary 60H15; Secondary 35R60; 58J65

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