70 citations · 550 across the 84 of their papers we have counts for
13 papers · 1 filter
The Lorentzian Calderón problem on vector bundles
Sean Gomes, Lauri Oksanen
In this paper we study a Lorentzian version of the Calderón problem, which is concerned with the determination of a connection and potential on a Hermitian vector bundle over a Lor…
Unique continuation for the wave equation: the stability landscape
Erik Burman, Lauri Oksanen, Janosch Preuss +1
We consider a unique continuation problem for the wave equation given data in a volumetric subset of the space time domain. In the absence of data on the lateral boundary of the sp…
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…
Inverse problem for connections in semi-linear wave equations on Lorentzian manifolds
Lauri Oksanen, Ruochong Zhang
This paper recovers Hermitian connections of semi-linear wave equations with cubic nonlinearity. The main novelty is in the geometric generality: we treat the case of an arbitrary…
A Computational Method for the Inverse Robin Problem with Convergence Rate
Erik Burman, Marvin Knöller, Lauri Oksanen
The inverse Robin problem covers the determination of the Robin parameter in an elliptic partial differential equation posed on a domain . Given the solution of the Robin proble…
On Exponential Instability of an Inverse Problem for the Wave Equation
Leonard Busch, Matti Lassas, Lauri Oksanen +1
For a time-independent potential , consider the source-to-solution operator that maps a source to the solution of in Euclidean space wit…
Quantum field theory and inverse problems: Imaging with Entangled Photons
Matti Lassas, Medet Nursultanov, Lauri Oksanen +1
We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to u…
An inverse problem for the Standard Model of particle physics
Xi Chen, Matti Lassas, Lauri Oksanen +1
We pose and solve an inverse problem for the classical field equations that arise in the Standard Model of particle physics. Our main result describes natural conditions on the rep…
An inverse Signorini obstacle problem
Maarten V. de Hoop, Matti Lassas, Jinpeng Lu +2
We study the inverse problem of determining a Signorini obstacle from boundary measurements for the isotropic elasticity system. We prove that the obstacle can be uniquely determin…
On the blowup of quantitative unique continuation estimates for waves and applications to stability estimates
Spyridon Filippas, Lauri Oksanen
In this paper we are interested in the blowup of a geometric constant appearing in the optimal quantitative unique continuation property for wave operators. In a…
On the stability of an inverse problem for waves via the Boundary Control method
Spyridon Filippas, Lauri Oksanen
We establish a link between stability estimates for a hyperbolic inverse problem via the Boundary Control method and the blowup of a constant appearing in the contexts of optimal u…
Recovering a (1+1)-dimensional wave equation from a single white noise boundary measurement
Emilia L. K. Blåsten, Tapio Helin, Antti Kujanpää +2
We consider the following inverse problem: Suppose a -dimensional wave equation on with zero initial conditions is excited with a Neumann boundary data modell…
On the interplay between the light ray and the magnetic X-ray transforms
Lauri Oksanen, Gabriel P. Paternain, Miika Sarkkinen
We study the light ray transform acting on tensors on a stationary Lorentzian manifold. Our main result is injectivity up to the natural obstruction as long as the associated magne…