1 citations · 1 across the 8 of their papers we have counts for
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Inverse Nonlinear Scattering by a Metric
Peter Hintz, Antônio Sá Barreto, Gunther Uhlmann +1
We study the inverse problem of determining a time-dependent globally hyperbolic Lorentzian metric from the scattering operator for semilinear wave equations.
Partial data inverse problems for the nonlinear magnetic Schrödinger equation
Ru-Yu Lai, Gunther Uhlmann, Lili Yan
In this paper, we study the partial data inverse problem for nonlinear magnetic Schrödinger equations. We show that the knowledge of the Dirichlet-to-Neumann map, measured on an ar…
An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination
Shitao Liu, Gunther Uhlmann, Yang Yang
We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated fr…
Calderón problem for fractional Schrödinger operators on closed Riemannian manifolds
Ali Feizmohammadi, Katya Krupchyk, Gunther Uhlmann
We study an analog of the anisotropic Calderón problem for fractional Schrödinger operators with on closed Riemannian manifolds of dimensions two and hig…
Partial data inverse problems for reaction-diffusion and heat equations
Ali Feizmohammadi, Yavar Kian, Gunther Uhlmann
We study partial data inverse problems for linear and nonlinear parabolic equations with unknown time-dependent coefficients. In particular, we prove uniqueness results for partial…