6 papers · 1 filter
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…
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…
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…