70 citations · 550 across the 84 of their papers we have counts for
7 papers · 2 filters
The Light Ray transform in Stationary and Static Lorentzian geometries
Ali Feizmohammadi, Joonas Ilmavirta, Lauri Oksanen
Given a Lorentzian manifold, the light ray transform of a function is its integrals along null geodesics. This paper is concerned with the injectivity of the light ray transform on…
The Light Ray transform on Lorentzian manifolds
Matti Lassas, Lauri Oksanen, Plamen Stefanov +1
We study the weighted light ray transform of integrating functions on a Lorentzian manifold over lightlike geodesics. We analyze as a Fourier Integral Operator and show tha…
Recovery of zeroth order coefficients in non-linear wave equations
Ali Feizmohammadi, Lauri Oksanen
This paper is concerned with the resolution of an inverse problem related to the recovery of a scalar (potential) function from the source to solution map, of the semi-linear e…
An inverse problem for a semi-linear elliptic equation in Riemannian geometries
Ali Feizmohammadi, Lauri Oksanen
We study the inverse problem of unique recovery of a complex-valued scalar function , defined over a smooth compact Riemannian manifold…
Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain
Cătălin I. Cârstea, Gen Nakamura, Lauri Oksanen
We consider the inverse boundary value problem of recovering piecewise homogeneous elastic tensor and piecewise homogeneous mass density from a localized lateral Dirichlet-to-Neuma…
Detection of Hermitian connections in wave equations with cubic non-linearity
Xi Chen, Matti Lassas, Lauri Oksanen +1
We consider the geometric non-linear inverse problem of recovering a Hermitian connection from the source-to-solution map of the cubic wave equation , wh…