The inverse spectral problem for a string
Inverse spectral problem for Sturm Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
... in spectral theory is that containing the spectral parameter in equations and boundary ...with spectral parameter- dependent boundary conditions arise in studies of heat conduction problems and ...
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The inverse problem for some special spectral data
... the spectral problem of third order for the inverse scattering transform (IST) method is ...the spectral data, the two-multiple poles are taken into ...suggested spectral data is ...
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Luminy Lecture 1: The inverse spectral problem
... The spectral map Spec : M → R N + , (g , B) → Spec(∆ g ,B ) = {λ 0 < λ 2 1 ≤ λ 2 2 ≤ · · · } is often restricted to some sub-class of metrics or ...The problem is to show that Spec is 1 − 1 on the ...
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A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
... the inverse problems for second-order differential opera- tors with regular ...from spectral data, also we prove a unique- ness theorem in the inverse ...
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The Inverse Spectral Problem for Jacobi-Type Pencils
... E-mail: [email protected] Received June 10, 2017, in final form October 24, 2017; Published online October 28, 2017 https://doi.org/10.3842/SIGMA.2017.085 Abstract. In this paper we study the inverse ...
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Inverse boundary spectral problem for Riemannian polyhedra
... The purpose of this thesis is to prove the uniqueness theorem for the admissible Rie- mannian polyhedron determined by its boundary spectral data (BSD). Chapter 2 contains th[r] ...
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Reconstruction and stability in Gel'fand's inverse interior spectral problem
... Abstract 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 ...
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Spectral Method for the Parabolic Inverse Problem Subject to Temperature Overspecification
... M. Vafapisheh Buein Zahra Technical University, Buein Zahra, Qazvin, 3451745346 ,Iran. Abstract: In this paper, a numerical method is presented to give the approximate solution of a parabolic inverse ...
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Topics in spectral and inverse spectral theory
... of spectral the- oretic aspects of non-self-adjoint operators in contemporary applied and mathemat- ical ...the inverse scattering method, for instance, in the context of the focusing nonlinear Schr¨ ...
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An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line
... Abstract The matrix Sturm-Liouville operator with an integrable potential on the half-line is considered. The inverse spectral problem is studied, which consists in recovering of this operator by the ...
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Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
... Abstract This work aims to examine a Sturm-Liouville operator with a piece-wise continuous coefficient and a spectral parameter in boundary condition. The orthogonality of the eigenfunctions, realness and simplicity ...
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On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition
... and inverse scattering problem on the half-line 0, ∞ for the boundary value problem ...the inverse problem of scattering theory for ...containing spectral parameter was ...
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Direct and inverse spectral problems for discrete Sturm Liouville problem with generalized function potential
... the inverse problem for difference equations which are constructed by the Sturm-Liouville equations with generalized function potential from the generalized spectral function ...
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The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa–Holm equation
... and inverse spectral theory for ...a spectral gap around ...the spectral bands, which never happens for the auxiliary spectrum in the Jacobi ...
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The inverse deformation problem
... 1. Introduction Let Λ be a commutative complete noetherian local ring with residue field kkk of positive characteristic p. We write C C C Λ for the category of commutative complete noetherian local Λ-algebras with ...
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Inverse Problem of Astrodynamics
... Much later it was discovered a natural property of inverse problems their instability. Of course, our knowledge of the Solar system has not been and will never be final and the level of our know- ledge is entirely ...
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Inverse problem for cuts
... and its application, pp 1–105. Cambridge University Press, New York 22. Nathanson MB (1996) Additive number theory: inverse problems and the geometry of sumsets. Grad- uate texts in mathematics, vol 165. Springer, ...
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A rainbow inverse problem
... the inverse problem of retrieving the physiological parameters from measurements made at the surface of the ...the inverse problem, we tried to simulate the direct one, and developed a small ...
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Theta-problem and the String Swampland
... A swampland conjecture (for a review see [1]) states that, in d ≥ 4 space-time dimensions, a low energy effective theory, which has a UV completion to a consistent quantum gravity, cannot have free parameters. According ...
Inverse spectral problems on a closed manifold
... Keywords: Inverse spectral problem; Riemannian manifold; Laplace operator ...some inverse spectral problems on a closed connected Riemannian manifold (M, ...consider inverse ...
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