2 papers
math.AP2025
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-…
math.AP2024
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…