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Strong solutions to stochastic wave equations with values in Riemannian manifolds
Authors:Zdzis&#x  aw Brze   niak,Martin Ondrej  t
Affiliation:aDepartment of Mathematics, University of York, Heslington, York YO10 5DD, United Kingdom;bMathematical Institute, AS CR, Žitná 25, Prague 115 67, Czech Republic
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.
Keywords:Stochastic wave equation   Geometric wave equation
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