70 citations · 550 across the 84 of their papers we have counts for
8 papers · 1 filter
Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds
Ali Feizmohammadi, Katya Krupchyk, Lauri Oksanen +1
We show that a continuous potential can be constructively determined from the knowledge of the Dirichlet-to-Neumann map for the Schrödinger operator on a conformally t…
Lorentzian Calderón problem under curvature bounds
Spyros Alexakis, Ali Feizmohammadi, Lauri Oksanen
We introduce a method of solving inverse boundary value problems for wave equations on Lorentzian manifolds, and show that zeroth order coefficients can be recovered under certain…
Construction of artificial point sources for a linear wave equation in unknown medium
Anna Kirpichnikova, Jussi Korpela, Matti Lassas +1
We study the wave equation on a bounded domain of and on a compact Riemannian manifold with boundary. We assume that the coefficients of the wave equation are unk…
Stability estimate for scalar image velocimetry
E. Burman, J. J. J. Gillissen, L. Oksanen
In this paper we analyse the stability of the system of partial differential equations modelling scalar image velocimetry. We first revisit a successful numerical technique to reco…
Inverse problems for non-linear hyperbolic equations with disjoint sources and receivers
Ali Feizmohammadi, Matti Lassas, Lauri Oksanen
The paper studies inverse problems of determining unknown coefficients in various semi-linear and quasi-linear wave equations. We introduce a method to solve inverse problems for n…
A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime
Erik Burman, Mihai Nechita, Lauri Oksanen
We consider the numerical approximation of the ill-posed data assimilation problem for stationary convection-diffusion equations and extend our previous analysis in [Numer. Math. 1…
Inverse problem for the Yang-Mills equations
Xi Chen, Matti Lassas, Lauri Oksanen +1
We show that a connection can be recovered up to gauge from source-to-solution type data associated with the Yang-Mills equations in the four dimensional Minkowski space. Our proof…
Inverse problems for real principal type operators
Lauri Oksanen, Mikko Salo, Plamen Stefanov +1
We consider inverse boundary value problems for general real principal type differential operators. The first results state that the Cauchy data set uniquely determines the scatter…