Results 11 to 20 of about 267,596 (283)
Inverse nodal and inverse spectral problems for discontinuous boundary value problems
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shieh, Chung-tsun, Yurko, V. A.
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Adaptive Spectral Inversion for inverse medium problems
Inverse Problems, 2023 Abstract A nonlinear optimization method is proposed for the solution of inverse medium problems with spatially varying properties. To avoid the prohibitively large number of unknown control variables resulting from standard grid-based representations, the misfit is instead minimized in a small subspace spanned by the first few ...
Yannik G Gleichmann, Marcus J Grote
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Adaptive spectral decompositions for inverse medium problems [PDF]
Inverse Problems, 2021 Abstract Inverse medium problems involve the reconstruction of a spatially varying unknown medium from available observations by exploring a restricted search space of possible solutions. Standard grid-based representations are very general but all too often computationally prohibitive due to the high dimension of
Daniel H Baffet +2 more
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Inverse Spectral Problems in Rectangular Domains [PDF]
Communications in Partial Differential Equations, 2007 We consider the Schrodinger operator in n-dimensional rectangular domains with either Dirichlet or Neumann boundary conditions on the faces and study the constraints on the potential imposed by fixing the spectrum of the operator.We study also the asymptotics of the heat kernel when t tends to 0.
Eskin, Gregory, Ralston, James
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Inverse Steklov Spectral Problem for Curvilinear Polygons [PDF]
International Mathematics Research Notices, 2020 Abstract This paper studies the inverse Steklov spectral problem for curvilinear polygons. For generic curvilinear polygons with angles less than $\pi $, we prove that the asymptotics of Steklov eigenvalues obtained in [ 20] determines, in a constructive manner, the number of vertices and the properly ordered sequence of side lengths, as
Krymski, S +4 more
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Well-posed inverse spectral problems [PDF]
Proceedings of the National Academy of Sciences, 1975 It is known that if complete spectral data are provided, the potential function in a Sturm-Liouville operator is uniquely determined almost everywhere. If two such operators have spectra that differ in a finite number of eigenvalues, then the corresponding potential functions will no longer be the same. However, as is demonstrated when the nonidentical
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Solution of the inverse spectral problem for differential operators on a finite interval with complex weights [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаNon-self-adjoint second-order ordinary differential operators on a finite interval with complex weights are studied. Properties of spectral characteristics are established, and the inverse problem of recovering operators from their spectral ...
Yurko, Vjacheslav Anatol'evich
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Direct and inverse spectral problems for Dirac systems with nonlocal potentials [PDF]
Opuscula Mathematica, 2019 The main purposes of this paper are to study the direct and inverse spectral problems of the one-dimensional Dirac operators with nonlocal potentials. Based on informations about the spectrum of the operator, we find the potential and recover the form of
Kamila Dębowska, Leonid P. Nizhnik
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Inverse Spectral Problems for Schrödinger Operators [PDF]
Communications in Mathematical Physics, 2009 In this article we improve some of the inverse spectral results proved by Guillemin and Uribe in \cite{GU}. They proved that under some symmetry assumptions on the potential $V(x)$, the Taylor expansion of $V(x)$ near a non-degenerate global minimum can be recovered from the knowledge of the low-lying eigenvalues of the associated Schr dinger operator
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Inverse spectral problems for first order integro-differential operators
Boundary Value Problems, 2017 Inverse spectral problems are studied for the first order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems.
Vjacheslav Yurko
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