59 citations · 416 across the 90 of their papers we have counts for
7 papers · 1 filter
Inverse moving source problems in electrodynamics
Guanghui Hu, Yavar Kian, Peijun Li +1
This paper is concerned with the uniqueness on two inverse moving source problems in electrodynamics with partial boundary data. We show that (1) if the temporal source function is…
Determination of convection terms and quasi-linearities appearing in diffusion equations
Pedro Caro, Yavar Kian
We consider the highly nonlinear and ill-posed inverse problem of determining some general expression appearing in the diffusion equation $\partial_tu-Δ_x u+F(…
Uniqueness and stability for the recovery of a time-dependent source in elastodynamics
Guanghui Hu, Yavar Kian
This paper is concerned with inverse source problems for the time-dependent Lamé system in an unbounded domain corresponding to the exterior of a bounded cavity or the full space $…
A Borg-Levinson theorem for magnetic Schrödinger operators on a Riemannian manifold
Mourad Bellassoued, Mourad Choulli, Dos Santos Ferreira +2
This article is concerned with uniqueness and stability issues for the inverse spectral problem of recovering the magnetic field and the electric potential in a Riemannian manifold…
On the determination of nonlinear terms appearing in semilinear hyperbolic equations
Yavar Kian
We consider the inverse problem of determining a general nonlinear term appearing in a semilinear hyperbolic equation on a Riemannian manifold with boundary of dimension $n…
Carleman estimate for the Schrödinger equation and application to magnetic inverse problems
Xinchi Huang, Yavar Kian, Eric Soccorsi +1
We prove that the stationary magnetic potential vector and the electrostatic potential entering the dynamic magnetic Schrödinger equation can be Lipschitz stably retrieved through…