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math.AP2026
Counterexamples to the Lorentzian Calderón problem
Lauri Oksanen, Miika Sarkkinen
We show that two non-isometric, smooth, globally hyperbolic Lorentzian metrics can have the same hyperbolic Dirichlet-to-Neumann map on an infinite cylinder with timelike boundary.
math.AP2025
Recovery of a matrix valued potential for the wave equation on stationary spacetimes
Spyridon Filippas, Lauri Oksanen, Miika Sarkkinen
We study the problem of recovering a time dependent matrix valued potential on a globally hyperbolic manifold from the knowledge of the source to solution map of a wave equation in…