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math.AP2013★ 14 cited
Inverse problem for the wave equation with a white noise source
Tapio Helin, Matti Lassas, Lauri Oksanen
We consider a smooth Riemannian metric tensor on and study the stochastic wave equation for the Laplace-Beltrami operator $\p_t^2 u - Δ_g u = F$. Here, is a…
math.AP2013
Photoacoustic and thermoacoustic tomography with an uncertain wave speed
Lauri Oksanen, Gunther Uhlmann
We consider the mathematical model of photoacoustic and thermoacoustic tomography in media with a variable sound speed. When the sound speed is known, the explicit reconstruction f…