Traces of Sturm-Liouville operators with discontinuities

DOI10.1080/17415977.2013.828053zbMath1329.34057OpenAlexW2004698373MaRDI QIDQ3465072

Chuan-Fu Yang

Publication date: 28 January 2016

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2013.828053

zbMATH Keywords

second-order differential operatorregularized trace formula

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (9)

Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues ⋮ A Gelfand-Levitan trace formula for generic quantum graphs ⋮ The regularized trace of Sturm–Liouville problem with discontinuities at two points ⋮ Spectrum, trace and nodal points of a Sturm-Liouville type delayed differential operator with interface conditions ⋮ A trace formula for discontinuous eigenvalue problem ⋮ Inverse spectral problems for the Sturm-Liouville operator with discontinuity ⋮ Reconstruction and solvability for discontinuous Hochstadt-Lieberman problems ⋮ Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity ⋮ Inverse spectral problems for Bessel operators with interior transmission conditions

Cites Work

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• Traces of differential operators
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• Trace formulas for the Sturm-Liouville operator with regular boundary conditions
• Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients
• An exact solution for a derivative nonlinear Schrödinger equation
• Trace formulae and inverse spectral theory for Schrödinger operators
• Trace Formulas and the Behaviour of Large Eigenvalues
• Integral transforms connected with discontinuous boundary value problems
• Inverse problems for nonabsorbing media with discontinuous material properties
• Trace formula for Sturm-Liouville operators with singular potentials

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