15 citations · 26 across the 19 of their papers we have counts for
21 papers
Determination of Wave Speed from point sources
Joonas Ilmavirta, Teemu Saksala, Ashwin Tarikere +1
We consider the wave equation with variable wave speed in Euclidean space, with point sources modeled by Dirac delta initial displacement data. There are three special subsets of t…
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 act…
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…
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 recover…
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…
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…
Lipschitz Stability of Travel Time Data
Joonas Ilmavirta, Antti Kykkänen, Matti Lassas +2
We prove that the reconstruction of a certain type of length spaces from their travel time data on a closed subset is Lipschitz stable. The travel time data is the set of distance…
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds
Boya Liu, Teemu Saksala, Lili Yan
We study an inverse problem of determining a time-dependent potential appearing in the wave equation in conformally transversally anisotropic manifolds of dimension three or higher…
Partial data inverse problem for hyperbolic equation with time-dependent damping coefficient and potential
Boya Liu, Teemu Saksala, Lili Yan
We study an inverse problem of determining a time-dependent damping coefficient and potential appearing in the wave equation in a compact Riemannian manifold of dimension three or…
Three travel time inverse problems on simple Riemannian manifolds
Joonas Ilmavirta, Boya Liu, Teemu Saksala
We provide new proofs based on the Myers-Steenrod theorem to confirm that travel time data, travel time difference data and the broken scattering relations determine a simple Riema…
Uniqueness of the partial travel time representation of a compact Riemannian manifold with strictly convex boundary
Ella Pavlechko, Teemu Saksala
In this paper a compact Riemannian manifold with strictly convex boundary is reconstructed from its partial travel time data. This data assumes that an open measurement region on t…
Stable reconstruction of simple Riemannian manifolds from unknown interior sources
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
Consider the geometric inverse problem: There is a set of delta-sources in spacetime that emit waves travelling at unit speed. If we know all the arrival times at the boundary cyli…
A foliated and reversible Finsler manifold is determined by its broken scattering relation
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
The broken scattering relation consists of the total lengths of broken geodesics that start from the boundary, change direction once inside the manifold, and propagate to the bound…
Generic uniqueness and stability for the mixed ray transform
Maarten V. de Hoop, Teemu Saksala, Gunther Uhlmann +1
We consider the mixed ray transform of tensor fields on a three-dimensional compact simple Riemannian manifold with boundary. We prove the injectivity of the transform, up to natur…
Determination of a compact Finsler manifold from its boundary distance map and an inverse problem in elasticity
Maarten V. De Hoop, Joonas Ilmavirta, Matti Lassas +1
We prove that the boundary distance map of a smooth compact Finsler manifold with smooth boundary determines its topological and differentiable structures. We construct the optimal…
Mixed ray transform on simple 2-dimensional Riemannian manifolds
Maarten V. de Hoop, Teemu Saksala, Jian Zhai
We characterize the kernel of the mixed ray transform on simple -dimensional Riemannian manifolds, that is, on simple surfaces for tensors of any order.
Inverse problem of Travel time difference functions on compact Riemannian manifold with boundary
Maarten V. de Hoop, Teemu Saksala
We show that the travel time difference functions, measured on the boundary, determine a compact Riemannian manifold with smooth boundary up to Riemannian isometry, if boundary sat…
Reconstruction of a compact Riemannian manifold from the scattering data of internal sources
Matti Lassas, Teemu Saksala, Hanming Zhou
Given a smooth non-trapping compact manifold with strictly con- vex boundary, we consider an inverse problem of reconstructing the manifold from the scattering data initiated from…
Correlation based passive imaging with a white noise source
Tapio Helin, Matti Lassas, Lauri Oksanen +1
Passive imaging refers to problems where waves generated by unknown sources are recorded and used to image the medium through which they travel. The sources are typically modelled…
Determination of a Riemannian manifold from the distance difference functions
Matti Lassas, Teemu Saksala
Let be a Riemannian manifold with the distance function and an open subset . For we denote by the distance difference function $D_x:F\ti…