277 citations · 2.8k across the 151 of their papers we have counts for
169 papers
Determination of Wave Speed from interior sources
Joonas Ilmavirta, Teemu Saksala, Ashwin Tarikere +1
We consider the wave equation with variable wave speed in Euclidean space, with point sources modeled by Dirac delta initial displacement data. There are three special subsets of t…
Determination of the density in a nonlinear elastic wave equation
Gunther Uhlmann, Jian Zhai
This is a continuation of our study [Uhlmann-Zhai, JMPA, 2021] on an inverse boundary value problem for a nonlinear elastic wave equation. We prove that all the linear and nonlinea…
Reconstruction of a Lorentzian manifold from its Dirichlet-to-Neumann map
Alberto Enciso, Michał Wrochna, Gunther Uhlmann
We prove that the Dirichlet-to-Neumann map of the linear wave equation determines the topological, differentiable and conformal structure of the underlying Lorentzian manifold, und…
Determination of the sound speed and an initial source in photoacoustic tomography
Yavar Kian, Gunther Uhlmann
In thermoacoustic and photoacoustic tomography an electromagnetic wave is sent through a medium, heating it and therefore generating an elastic expansion that in turns generates an…
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…