275 citations · 965 across the 65 of their papers we have counts for
5 papers · 2 filters
Recovery of coefficients in semilinear transport equations
Ru-Yu Lai, Gunther Uhlmann, Hanming Zhou
We consider the inverse problem for time-dependent semilinear transport equations. We show that time-independent coefficients of both the linear (absorption or scattering coefficie…
The Calderón problem for the fractional Dirac operator
Hadrian Quan, Gunther Uhlmann
We show that knowledge of the source-to-solution map for the fractional Dirac operator acting over sections of a Hermitian vector bundle over a smooth closed connencted Riemannian…
Recovery of black hole mass from a single quasinormal mode
Gunther Uhlmann, Yiran Wang
We study the determination of the mass of a de Sitter-Schwarzschild black hole from one quasinormal mode. We prove a local uniqueness result with a Hölder type stability estimate.
An inverse boundary value problem arising in nonlinear acoustics
Gunther Uhlmann, Yang Zhang
We consider an inverse problem arising in nonlinear ultrasound imaging. The propagation of ultrasound waves is modeled by a quasilinear wave equation. We make measurements at the b…
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…