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math.AP2021★ 4 cited
A Linearized Boundary Control Method for the Acoustic Inverse Boundary Value Problem
Lauri Oksanen, Tianyu Yang, Yang Yang
We develop a linearized boundary control method for the inverse boundary value problem of determining a potential in the acoustic wave equation from the Neumann-to-Dirichlet map. W…
math.AP2021★ 5 cited
Lorentzian Calderón problem near the Minkowski geometry
Spyros Alexakis, Ali Feizmohammadi, Lauri Oksanen
We study a Lorentzian version of the well-known Calderón problem that is concerned with determination of lower order coefficients in a wave equation on a smooth Lorentzian manifold…
math.AP2021
Counterexamples to inverse problems for the wave equation
Tony Liimatainen, Lauri Oksanen
We construct counterexamples to inverse problems for the wave operator on domains in , , and on Lorentzian manifolds. We show that non-isometric Lorentzi…