1 citations · 2 across the 12 of their papers we have counts for
12 papers
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…
The higher-order fractional Schrödinger equation with nonlinear local perturbations: Uniqueness
Giovanni Covi, Ru-Yu Lai, Lili Yan
We study the higher-order fractional Schrödinger equation with local nonlinear perturbations and investigate both the forward and inverse problems. We establish both the Sobolev $H…
Entanglement principle and fractional Calderón problem for nonlocal parabolic operators
Ru-Yu Lai, Yi-Hsuan Lin, Lili Yan
We examine inverse problems for the variable-coefficient nonlocal parabolic operator , where . This article makes two primary contributions. First,…
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…
Partial data inverse problems for the nonlinear magnetic Schrödinger equation
Ru-Yu Lai, Gunther Uhlmann, Lili Yan
In this paper, we study the partial data inverse problem for nonlinear magnetic Schrödinger equations. We show that the knowledge of the Dirichlet-to-Neumann map, measured on an ar…
Stable determination of time-dependent collision kernel in the nonlinear Boltzmann equation
Ru-Yu Lai, Lili Yan
We consider an inverse problem for the nonlinear Boltzmann equation with a time-dependent kernel in dimensions . We establish a logarithm-type stability result for the coll…
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…
Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds
Salem Selim, Lili Yan
We study inverse boundary problems for the magnetic Schrödinger operator with Hölder continuous magnetic potentials and continuous electric potentials on a conformally transversall…
A remark on inverse problems for nonlinear magnetic Schrödinger equations on complex manifolds
Katya Krupchyk, Gunther Uhlmann, Lili Yan
We show that the knowledge of the Dirichlet--to--Neumann map for a nonlinear magnetic Schrödinger operator on the boundary of a compact complex manifold, equipped with a Kähler met…
Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds
Lili Yan
We prove that a continuous potential can be constructively determined from the knowledge of the Dirichlet-to-Neumann map for the perturbed biharmonic operator on a co…
Inverse boundary problems for biharmonic operators in transversally anisotropic geometries
Lili Yan
We study inverse boundary problems for first order perturbations of the biharmonic operator on a conformally transversally anisotropic Riemannian manifold of dimension . W…