14 citations · 31 across the 10 of their papers we have counts for
3 papers · 1 filter
Time reversal method for thermoacoustic acoustic tomography in elastic media: convergence with sharp observation time
Vitaly Katsnelson, Linh V. Nguyen
In this article, we consider the inverse source problem arising in photoacoustic tomography in elastic media. We show that the time reversal method, proposed by Tittelfitz [Inverse…
Spectral rigidity for spherically symmetric manifolds with boundary
Maarten V. de Hoop, Joonas Ilmavirta, Vitaly Katsnelson
We prove a trace formula for three-dimensional spherically symmetric Riemannian manifolds with boundary which satisfy the Herglotz condition: The wave trace is singular precisely a…
Scattering Control for the Wave Equation with Unknown Wave Speed
Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1
Consider the acoustic wave equation with unknown, not necessarily smooth, wave speed . We propose and study an iterative control procedure that erases the history of a wave fiel…