Strong solutions to stochastic wave equations with values in Riemannian manifolds |
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Authors: | Zdzis aw Brze
niak,Martin Ondrej t |
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Affiliation: | aDepartment of Mathematics, University of York, Heslington, York YO10 5DD, United Kingdom;bMathematical Institute, AS CR, Žitná 25, Prague 115 67, Czech Republic |
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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 , where Y is a C1-smooth transformation and W is a spatially homogeneous Wiener process on whose spectral measure has finite moments up to order 2. |
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Keywords: | Stochastic wave equation Geometric wave equation |
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