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Strong solutions to stochastic wave equations with values in Riemannian manifolds

Brzeźniak, Z. and Ondrejá, M. (2007) Strong solutions to stochastic wave equations with values in Riemannian manifolds. Journal of Functional Analysis, 253 (2). pp. 449-481. ISSN 0022-1236

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Abstract

Let M be a d-dimensional compact Riemannian manifold. We prove existence of a unique global strong solution of the stochastic wave equation View the MathML source, where Y is a C1-smooth transformation and W is a spatially homogeneous Wiener process on View the MathML source whose spectral measure has finite moments up to order 2.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 22 Apr 2009 08:58
Last Modified: 22 Apr 2009 08:58
Published Version: http://dx.doi.org/10.1016/j.jfa.2007.03.034
Status: Published
Publisher: Elsevier Science B.V. Amsterdam
Identification Number: 10.1016/j.jfa.2007.03.034
URI: http://eprints.whiterose.ac.uk/id/eprint/6684

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