3 papers
math.AP2023
Determining Lorentzian manifold from non-linear wave observation at a single point
Medet Nursultanov, Lauri Oksanen, Leo Tzou
We consider an inverse problem for a non-linear hyperbolic equation. We show that conformal structure of a Lorentzian manifold can be determined by the source-to-solution map evalu…
math.NA2023
Finite element approximation of unique continuation of functions with finite dimensional trace
Erik Burman, Lauri Oksanen
We consider a unique continuation problem where the Dirichlet trace of the solution is known to have finite dimension. We prove Lipschitz stability of the unique continuation probl…
math.AP2023
Disjoint data inverse problem on manifolds with quantum chaos bounds
Matti Lassas, Medet Nursultanov, Lauri Oksanen +1
We consider the inverse problem to determine a smooth compact Riemannian manifold from a restriction of the source-to-solution operator, , for the wave e…