3 citations · 6 across the 6 of their papers we have counts for
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Principal spectral rigidity implies subprincipal spectral rigidity
Maarten V. de Hoop, Joonas Ilmavirta, Vitaly Katsnelson
We study the inverse spectral problem of jointly recovering a radially symmetric Riemannian metric and an additional coefficient from the Dirichlet spectrum of a perturbed Laplace-…
Recovery of piecewise smooth parameters in an acoustic-gravitational system of equations from exterior Cauchy data
Sombuddha Bhattacharyya, Maarten de Hoop, Vitaly Katsnelson
In this paper, we study an inverse problem for an acoustic-gravitational system whose principal symbol is identical to that of an acoustic wave operator. The displacement vector of…
Recovery of piecewise smooth density and Lamé parameters from high-frequency exterior Cauchy data
Sombuddha Bhattacharyya, Maarten V. de Hoop, Vitaly Katsnelson +1
We consider an isotropic elastic medium occupying a bounded domain D whose density and Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we a…
Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators
Sombuddha Bhattacharyya, Maarten V. de Hoop, Vitaly Katsnelson +1
We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been exploited for decades in (explorati…
Recovery of discontinuous Lamé parameters from local dynamic boundary data
Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1
Consider an isotropic elastic medium whose Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we are given the solutio…
Reconstruction of piecewise smooth wave speeds using multiple scattering
Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1
Let be a piecewise smooth wave speed on , unknown inside a domain . We are given the solution operator for the scalar wave equation , bu…