Schrödinger operators on graphs and geometry. II: Spectral estimates for \(L_1\)-potentials and an Ambartsumian theorem
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Publication:723551
DOI10.1007/s00020-018-2467-1zbMath1403.34030OpenAlexW2807447033MaRDI QIDQ723551
Rune Suhr, Jan Boman, Pavel Kurasov
Publication date: 24 July 2018
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00020-018-2467-1
Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
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Distinguishing cospectral quantum graphs by scattering ⋮ Schrödinger operators on graphs and geometry. III. General vertex conditions and counterexamples ⋮ On Ambarzumian type theorems for tree domains ⋮ Optimal potentials for quantum graphs ⋮ Inverse nodal problem for Sturm-Liouville operator on a star graph with nonequal edges ⋮ Surgery transformations and spectral estimates of \(\delta\) beam operators ⋮ Cospectral quantum graphs with Dirichlet conditions at pendant vertices ⋮ Recovering the shape of a quantum graph ⋮ Spectral determinants and an Ambarzumian type theorem on graphs ⋮ An Ambarzumian-type theorem on graphs with odd cycles ⋮ On recovering the shape of a quantum tree from the spectrum of the Dirichlet boundary problem ⋮ Inverse nodal problem for singular Sturm-Liouville operator on a star graph ⋮ \(n\)-Laplacians on metric graphs and almost periodic functions. I ⋮ Gluing graphs and the spectral gap: a Titchmarsh–Weyl matrix-valued function approach ⋮ Asymptotically isospectral quantum graphs and generalised trigonometric polynomials ⋮ On multiplicity of eigenvalues in quantum graph theory
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