Resolvent convergence of Sturm-Liouville operators with singular potentials
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Publication:1957047
DOI10.1134/S0001434610010372zbMath1205.34120arXiv1001.4160MaRDI QIDQ1957047
A. S. Goriunov, Vladimir A. Mikhailets
Publication date: 24 September 2010
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.4160
Sturm-Liouville operatorGreen functionGreen matrixsingular potentialquasiderivativequasidifferential expressionresolvent convergence of operators
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05)
Related Items (12)
Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators ⋮ Fredholm boundary-value problems with parameter in Sobolev spaces ⋮ Convergence and approximation of the Sturm-Liouville operators with potentials-distributions ⋮ On the continuity in a parameter for the solutions of boundary-value problems total with respect to the spaces \(C^{(n+r)}[a, b\)] ⋮ Limit theorems for one-dimensional boundary-value problems ⋮ Sturm-Liouville operators with measure-valued coefficients ⋮ Limit theorems for general one-dimensional boundary-value problems ⋮ The solvability of inhomogeneous boundary-value problems in Sobolev spaces ⋮ 1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials ⋮ Continuity of the solutions of one-dimensional boundary-value problems with respect to the parameter in the Slobodetskii spaces ⋮ Continuity of the solutions of one-dimensional boundary-value problems in Hölder spaces with respect to the parameter ⋮ Limit theorems for the solutions of boundary-value problems
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