Uniqueness and stability results for an inverse spectral problem in a periodic waveguide
type: Item
instance of: scholarly article
title: Uniqueness and stability results for an inverse spectral problem in a periodic waveguide
zbMATH Open document ID: 1335.35300
author: Otared Kavian
author: Yavar Kian
author: Eric Soccorsi
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2015-11-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/1504.04267
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35A35
zbMATH DE Number: 6506719
zbMATH Keywords: inverse spectral problem
zbMATH Keywords: stability
zbMATH Keywords: uniqueness
zbMATH Keywords: periodic waveguide
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: periodic potential
MaRDI profile type: Publication
OpenAlex ID: W2963278000
arXiv ID: 1504.04267
cites work: Inverse spectral-scattering problem with two sets of discrete spectra for the radial Schrödinger equation
cites work: Stability For a Multidimensional Inverse Spectral Theorem
cites work: Stability estimate for an inverse wave equation and a multidimensional Borg-Levinson theorem
cites work: Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map
cites work: Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
cites work: Q5814115
cites work: Determining coefficients in a class of heat equations via boundary measurements
cites work: Q3437740
cites work: An introduction to inverse elliptic and parabolic problems
cites work: Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide
cites work: Stability for the Multi-Dimensional Borg-Levinson Theorem with Partial Spectral Data
cites work: Inverse spectral problem for the Schrödinger equation with periodic vector potential
cites work: On isospectral periodic potentials in Rn
cites work: Absolute continuity of the Schrödinger operator spectrum in a multidimensional cylinder
cites work: Q5807062
cites work: Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators
cites work: Q3125299
cites work: A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure
cites work: Q3470840
cites work: Inverse Spectral Results on Two-Dimensional Tori
cites work: Some remarks on the multi-dimensional Borg-Levinson theorem
cites work: Multidimensional Borg–Levinson theorem
cites work: Q5802401
cites work: Some questions in the theory of one-dimensional linear differential operators of the second order. I
cites work: Stable Determination of a Simple Metric, a Covector Field and a Potential from the Hyperbolic Dirichlet-to-Neumann Map
cites work: An \(n\)-dimensional Borg-Levinson theorem
cites work: Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\)
cites work: Q4185363
cites work: A new approach to inverse spectral theory. I: Fundamental formalism
cites work: Stability estimates for the hyperbolic Dirichlet to Neumann map in anisotropic media
cites work: Q5461875
DOI: 10.1016/J.MATPUR.2015.09.002
description: scientific article