Inverse problem for the wave equation with a white noise source

Tapio Helin, Matti Lassas, Lauri Oksanen

We consider a smooth Riemannian metric tensor $g$ on ${\mathbb{R}}^n$ and study the stochastic wave equation for the Laplace-Beltrami operator $\p_t^2 u - Δ_g u = F$. Here, $F=F(t,x,\omega )$ is a…