Strong solutions to stochastic wave equations with values in Riemannian manifolds

Let M be a d-dimensional compact Riemannian manifold. We prove existence of a unique global strong solution of the stochastic wave equation D-t partial derivative(t)u = D-x partial derivative(x)u + Y-u (partial derivative(t)u, partial derivative(x)u) V, where Y is a C-1-smooth transformation and W is a spatially homogeneous Wiener process on R whose spectral measure has finite moments up to order 2. (c) 2007 Published by Elsevier Inc.