On a family of differential operators with the coupling parameter in the boundary condition

DOI10.1016/j.cam.2006.10.041zbMath1146.35064arXivmath/0510371OpenAlexW2056549705MaRDI QIDQ2381600

Michael Solomyak, Grigori Rozenblum

Publication date: 18 September 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510371

zbMATH Keywords

essential self-adjointnessnumber of eigenvaluesShapiro-Lopatinsky condition

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General theory of partial differential operators (47F05) Spectral sets of linear operators (47A25)

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Spectral and resonance properties of the Smilansky Hamiltonian ⋮ A magnetic version of the Smilansky–Solomyak model ⋮ Smilansky-Solomyak model with a \(\delta^\prime\)-interaction ⋮ A regular analogue of the Smilansky model: spectral properties ⋮ On the mathematical work of Mikhail Zakharovich Solomyak ⋮ Schrödinger Operators with a Switching Effect

Cites Work

• On the spectra of infinite-dimensional Jacobi matrices
• An upper bound on the number of eigenvalues of an infinite dimensional Jacobi matrix
• Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum
• Irreversible quantum graphs
• On a mathematical model of irreversible quantum graphs
• Smilansky's model of irreversible quantum graphs: II. The point spectrum
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