3 papers
math.AP2026
Improved stability of low Fourier modes in inverse problems for potentials
Tony Liimatainen, William Trad, Mikko Salo
We prove Lipschitz, sub-Hölder and Hölder stability estimates for recovering the low Fourier modes of an unknown potential from the Dirichlet-to-Neumann (DN) map. We study three di…
math.DG2026
Regularity for the Geodesic X-Ray Transform in Nonsmooth Geometry
Pieti Kirkkopelto, Miika Manu, Mikko Salo
In this article we give regularity results for the geodesic X-ray transform on nonsmooth simple manifolds. As an application, we improve previous injectivity results for the geodes…
math.AP2025
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…