Uniqueness and stability results for an inverse spectral problem in a periodic waveguide [PDF]
, 2015 Let $\Omega =\omega\times\mathbb R$ where $\omega\subset \mathbb R^2$ be a bounded domain, and $V : \Omega \to\mathbb R$ a bounded potential which is $2\pi$-periodic in the variable $x_{3}\in \mathbb R$.
O. Kavian, Yavar Kian, É. Soccorsi
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An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation [PDF]
, 2014 We introduce a generalized isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation. Utilizing the solution of the indefinite moment problem given by M. G. Krein and H.
Eckhardt, Jonathan, Kostenko, Aleksey
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The Zakharov-Shabat spectral problem on the semi-line: Hilbert formulation and applications
, 2001 The inverse spectral transform for the Zakharov-Shabat equation on the semi-line is reconsidered as a Hilbert problem. The boundary data induce an essential singularity at large k to one of the basic solutions.
A Spire +23 more
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Necessary and Sufficient Conditions for the Solvability of Inverse Problem for a Class of Dirac Operators [PDF]
, 2014 In this paper, we consider a problem for the first order Dirac differential equations system with spectral parameter dependent in boundary condition.
Akcay, O., Mamedov, Kh. R.
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On the isospectral problem of the dispersionless Camassa-Holm equation
, 2013 We discuss direct and inverse spectral theory for the isospectral problem of the dispersionless Camassa--Holm equation, where the weight is allowed to be a finite signed measure.
Beals +49 more
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Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions
Mathematics, 2023 In this paper, for the first time, we study the inverse Sturm–Liouville problem with polynomials of the spectral parameter in the first boundary condition and with entire analytic functions in the second one.
N. Bondarenko, E. E. Chitorkin
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Two inverse spectral problems for a class of singular Krein strings
, 2013 We solve the inverse problem from the spectral measure and the inverse three-spectra problem for the class of singular Krein strings on a finite interval with trace class resolvents.
Eckhardt, Jonathan
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Inverse spectral problem for singular AKNS operator on [0,1] [PDF]
, 2006 We consider an inverse spectral problem for a class of singular AKNS operators $H\_a, a\in\N$ with an explicit singularity. We construct for each $a\in\N$, a standard map $\lambda^a\times\kappa^a$ with spectral data $\lambda^a$ and some norming constant $
Serier, Frédéric
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Uniqueness results in the inverse spectral Steklov problem [PDF]
Inverse Problems and Imaging, 2019 This paper is devoted to an inverse Steklov problem for a particular class of n-dimensional manifolds having the topology of a hollow sphere and equipped with a warped product metric.
G. Gendron
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Reconstruction and stability in Gelfand’s inverse interior spectral problem [PDF]
Analysis & PDE, 2017 Assume that $M$ is a compact Riemannian manifold of bounded geometry given by restrictions on its diameter, Ricci curvature and injectivity radius. Assume we are given, with some error, the first eigenvalues of the Laplacian $\Delta$ on $M$ as well as ...
R. Bosi, Y. Kurylev, M. Lassas
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