Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Nursultanov, Medet"'
We investigate the negative part of the spectrum of the operator $-\partial^2 - \mu$ on $L^2(\mathbb R)$, where a locally finite Radon measure $\mu \geq 0$ is serving as a potential. We obtain estimates for the eigenvalue counting function, for indiv
Externí odkaz:
http://arxiv.org/abs/2408.05980
We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipshitz stability for the recovery of small potentials.
Externí odkaz:
http://arxiv.org/abs/2407.01922
Autor:
Nursultanov, Medet, Oksanen, Lauri
There are two main approaches to solve inverse coefficient determination problems for wave equations: the Boundary Control method and an approach based on geometric optics. These notes focus on the Boundary Control method, but we will have a brief lo
Externí odkaz:
http://arxiv.org/abs/2311.06020
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 evaluated along a single timelike curve. We use the microlocal analysis of
Externí odkaz:
http://arxiv.org/abs/2310.06925
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 involves the imposition of vanishing Dirichlet boundary conditions on a small
Externí odkaz:
http://arxiv.org/abs/2306.00491
We consider the inverse problem to determine a smooth compact Riemannian manifold $(M,g)$ from a restriction of the source-to-solution operator, $\Lambda_{\mathcal{S,R}}$, for the wave equation on the manifold. Here, $\mathcal{S}$ and $\mathcal{R}$ a
Externí odkaz:
http://arxiv.org/abs/2303.13342
Autor:
Nursultanov, Medet
We investigate the $L_p \mapsto L_q$ boundedness of the Fourier multipliers. We obtain sufficient conditions, namely, we derive Hormander and Lizorkin type theorems. We also obtain the necessary conditions. For $M$-generalized monotone functions, we
Externí odkaz:
http://arxiv.org/abs/2210.11183
In this article, we study the narrow capture problem on a Riemannian 2-manifold. This involves the derivation of the mean first passage (sojourn) time of a surface-bound ion modelled as a Brownian particle. We use a layer potential argument in conjun
Externí odkaz:
http://arxiv.org/abs/2209.12425
Can one demonstrate quantitative effects of diversity within a system comprised of distinct individuals on the performance of the system as a whole? Assuming that individuals can be different, we develop a model to interpolate between individual-leve
Externí odkaz:
http://arxiv.org/abs/2108.04054
This paper considers the narrow escape problem of a Brownian particle within a three-dimensional Riemannian manifold under the influence of the force field. We compute an asymptotic expansion of mean sojourn time for Brownian particles. As an auxilia
Externí odkaz:
http://arxiv.org/abs/2107.01403