70 citations · 550 across the 84 of their papers we have counts for
11 papers · 1 filter
Stability for a formally determined Lorentzian inverse problem
Spyridon Filippas, Lauri Oksanen
We consider the inverse problem of recovering a potential , depending on space and time, in the wave equation on a Lorentzian manifold. We prove Lipschitz stabil…
(In)stability results for the Light Ray Transform
Leonard Busch, Sebastián Muñoz-Thon, Lauri Oksanen
We prove quantitative instability results for the light ray transform in the Minkowski setting, and locally in the smooth and Gevrey categories. In the smooth Sobolev setting, we s…
Inverse Scattering for Single Photons in Quantum Optics
Giovanni Covi, Matti Lassas, Medet Nursultanov +3
We study inverse problems for a time-harmonic one-photon model describing the interaction of a single photon with a medium of stationary two-level atoms. After time-harmonic reduct…
An inverse free boundary problem
Cătălin I. Cârstea, Matti Lassas, Jinpeng Lu +2
We study inverse problems for the elliptic and parabolic obstacle problems from boundary measurements. For the classical elliptic obstacle problem with strictly superharmonic obsta…
Fixed angle inverse scattering with non-constant velocity
Lauri Oksanen, Rakesh, Mikko Salo
In this article, we study formally determined inverse problems for wave equations in the presence of a variable sound speed. We prove that by measuring the boundary data of finitel…
Semiglobal uniqueness for the Lorentzian Calderón problem
Lauri Oksanen, Rakesh, Mikko Salo
We prove uniqueness in the Lorentzian Calderón problem in a semiglobal setting, comparing a potentially large perturbation of the Minkowski metric against a small one. Our proof us…
Determination of an anisotropic perturbation in elastic inverse scattering
Matti Lassas, Shiqi Ma, Lauri Oksanen +2
We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous…
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.
An inverse problem for semilinear wave equations on metric tree graphs
Sergei Avdonin, Matti Lassas, Jinpeng Lu +2
We study the inverse problem for a semilinear wave equation on metric tree graphs. From the Dirichlet-to-Neumann map defined at all but one of the boundary vertices, we recover unk…
Convergence Analysis for the Recovery of the Friction Threshold in a Scalar Tresca Model
Erik Burman, Marvin Knöller, Lauri Oksanen +1
We consider a scalar valued elliptic partial differential equation on a sufficiently smooth domain , subject to a regularized Tresca friction-type boundary condition on a subset…
Inverse problem for the geometric Navier-Stokes equations
Yavar Kian, Lauri Oksanen, Ziyao Zhao
We consider the inverse problem of determining a compact Riemannian manifold with boundary from fixed time observations of the solution, restricted to a small subset in space, for…