6 papers
Density of Products of Solutions and the Linearized Calderón Problem in an Analytic Background
Leonard Busch, Tony Liimatainen, Gunther Uhlmann
We study the linearization, with respect to zeroth-order perturbations, of the local Dirichlet-to-Neumann map of a formally self-adjoint elliptic operator on a compact R…
(In)stability results for the Light Ray Transform
Leonard Busch, Sebastián Muñoz-Thon, Lauri Oksanen
We prove quantitative instability results for the light ray transform in the Minkowski setting, and locally in the smooth and Gevrey categories. In the smooth Sobolev setting, we s…
Generalized boundary rigidity and minimal surface transform
Leonard Busch, Tony Liimatainen, Mikko Salo +1
We study a generalized boundary rigidity problem, which investigates whether the areas of embedded minimal surfaces can uniquely determine a Riemannian manifold with boundary. We p…
On Exponential Instability of an Inverse Problem for the Wave Equation
Leonard Busch, Matti Lassas, Lauri Oksanen +1
For a time-independent potential , consider the source-to-solution operator that maps a source to the solution of in Euclidean space wit…
Analytic Fourier Integral Operators and a Problem from Seismic Inversion
Leonard Busch
We establish a general result about the recovery of the analytic wavefront set of a distribution from the analytic wavefront set of its transform coming from a classical elliptic a…
An Inverse Problem with Partial Neumann Data and Potentials
Leonard Busch, Leo Tzou
We consider a partial data inverse problem with unbounded potentials. Rather than rely on functional analytic arguments or Carleman estimates, we construct an explicit Green's func…