13 citations · 33 across the 9 of their papers we have counts for
9 papers
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 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…
Generic uniqueness and stability for the mixed ray transform
Maarten V. de Hoop, Teemu Saksala, Gunther Uhlmann +1
We consider the mixed ray transform of tensor fields on a three-dimensional compact simple Riemannian manifold with boundary. We prove the injectivity of the transform, up to natur…
Full Reciprocity-Gap Waveform Inversion in the frequency domain, enabling sparse-source acquisition
Florian Faucher, Giovanni Alessandrini, Hélène Barucq +3
The quantitative reconstruction of sub-surface Earth properties from the propagation of waves follows an iterative minimization of a misfit functional. In marine seismic exploratio…
Analysis of a model of elastic dislocations in geophysics
Andrea Aspri, Elena Beretta, Anna L. Mazzucato +1
We analyze a mathematical model of elastic dislocations with applications to geophysics, where by an elastic dislocation we mean an open, oriented Lipschitz surface in the interior…
Inverse problem of Travel time difference functions on compact Riemannian manifold with boundary
Maarten V. de Hoop, Teemu Saksala
We show that the travel time difference functions, measured on the boundary, determine a compact Riemannian manifold with smooth boundary up to Riemannian isometry, if boundary sat…