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
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.
Metadata
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| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (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: | https://doi.org/10.1016/j.jfa.2007.03.034 |
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