4 papers · 1 filter
The backscattering problem for time-dependent potentials
Medet Nursultanov, Lauri Oksanen, Plamen Stefanov
We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipshitz stability for the recovery of small potentials.
Determining Lorentzian manifold from non-linear wave observation at a single point
Medet Nursultanov, Lauri Oksanen, Leo Tzou
We consider an inverse problem for a non-linear hyperbolic equation. We show that conformal structure of a Lorentzian manifold can be determined by the source-to-solution map evalu…
Eigenvalue Variations of the Neumann Laplace Operator Due to Perturbed Boundary Conditions
Medet Nursultanov, William Trad, Justin Tzou +1
This work considers the Neumann eigenvalue problem for the weighted Laplacian on a Riemannian manifold under the singular perturbation. This perturbation involve…
Disjoint data inverse problem on manifolds with quantum chaos bounds
Matti Lassas, Medet Nursultanov, Lauri Oksanen +1
We consider the inverse problem to determine a smooth compact Riemannian manifold from a restriction of the source-to-solution operator, , for the wave e…