70 citations · 550 across the 84 of their papers we have counts for
6 papers · 1 filter
Rigidity in fixed angle inverse scattering for Riemannian metrics
Lauri Oksanen, Rakesh, Mikko Salo
The fixed angle inverse scattering problem for a velocity consists in determining a sound speed, or a Riemannian metric up to diffeomorphism, from measurements obtained by probing…
Rigidity in the Lorentzian Calderón problem with formally determined data
Lauri Oksanen, Rakesh, Mikko Salo
We study the Lorentzian Calderón problem, where the objective is to determine a globally hyperbolic Lorentzian metric up to a boundary fixing diffeomorphism from boundary measureme…
The backscattering problem for time-dependent potentials
Medet Nursultanov, Lauri Oksanen, Plamen Stefanov
We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipshitz stability for the recovery of small potentials.
Linearized Boundary Control Method for Density Reconstruction in Acoustic Wave Equations
Lauri Oksanen, Tianyu Yang, Yang Yang
We develop a linearized boundary control method for the inverse boundary value problem of determining a density in the acoustic wave equation. The objective is to reconstruct an un…
Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method
Erik Burman, Mingfei Lu, Lauri Oksanen
In this paper, we consider the unique continuation problem for the Schrödinger equations. We prove a Hölder type conditional stability estimate and build up a parameterized stabili…
Computational unique continuation with finite dimensional Neumann trace
Erik Burman, Lauri Oksanen, Ziyao Zhao
We consider finite element approximations of unique continuation problems subject to elliptic equations in the case where the normal derivative of the exact solution is known to re…