An inverse problem for the wave equation with one measurement and the pseudorandom noise

Tapio Helin, Matti Lassas, Lauri Oksanen

We consider the wave equation $(\p_t^2-Δ_g)u(t,x)=f(t,x)$, in ${\mathbb{R}}^n$, $u{|}_{{\mathbb{R}}_{-}\times {\mathbb{R}}^n}=0$, where the metric $g=(g_{jk}(x){)}_{j,k=1}^n$ is known outside an open and bounded set…