Medet Nursultanov

collaborators

4 papers

math.SP2024

Negative eigenvalue estimates for the 1D Schr{ö}dinger operator with measure-potential

Robert Fulsche, Medet Nursultanov, Grigori Rozenblum

We investigate the negative part of the spectrum of the operator $- \partial^{2} - μ$ on $L^{2} (R)$ , where a locally finite Radon measure $μ \geq 0$ is serving as a potential. We…

math.AP2023

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…

math.AP2023

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 $(M, g, \partial M)$ under the singular perturbation. This perturbation involve…

math.AP2023

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 $(M, g)$ from a restriction of the source-to-solution operator, $Λ_{S, R}$ , for the wave e…