8 papers
Stable recovery of a simple irreversible Finsler geometry from travel time data
Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen +1
We show that a simple irreversible Finsler geometry can be recovered uniquely and Lipschitz-stably from its travel time data. We introduce and use a version of Gromov--Hausdorff di…
Rigidity of homogeneous Lamé systems
Joonas Ilmavirta, Teemu Saksala, Lili Yan
In this short paper, we show that any Lamé system whose Dirichlet-to-Neumann map for the elastic wave equation agrees with the one arising from the homogeneous Lamé system must a…
A Hyperbolic Inverse Problem for lower order terms on a closed manifold with disjoint data
Matti Lassas, Boya Liu, Teemu Saksala +2
We study the unique recovery of time-independent lower order terms appearing in the symmetric first order perturbation of the Riemannian wave equation by sending and measuring wave…
The elastic ray transform
Joonas Ilmavirta, Antti Kykkänen, Teemu Saksala
We introduce and study a new family of tensor tomography problems. At rank 2 it corresponds to linearization of travel time of elastic waves, measured for all polarizations. We pro…
Hölder stability of an inverse spectral problem for the magnetic Schrödinger operator on a simple manifold
Boya Liu, Hadrian Quan, Teemu Saksala +1
We show that on a simple Riemannian manifold, the electric potential and the solenoidal part of the magnetic potential appearing in the magnetic Schrödinger operator can be recove…
An Inverse Problem for symmetric hyperbolic Partial Differential Operators on Complete Riemannian Manifolds
Teemu Saksala, Andrew Shedlock
We show that a complete Riemannian manifold, as well as time independent smooth lower order terms appearing in a first order symmetric perturbation of a Riemannian wave operator ca…