Discrete spectrum of interactions concentrated near conical surfaces
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Publication:3177613
DOI10.1080/00036811.2017.1325472zbMath1398.35024arXiv1612.01798OpenAlexW2613533227WikidataQ58135866 ScholiaQ58135866MaRDI QIDQ3177613
Konstantin Pankrashkin, Thomas Ourmières-Bonafos
Publication date: 1 August 2018
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.01798
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)
Related Items (12)
Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension ⋮ Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer ⋮ Spectral asymptotics for \(\delta\)-interactions on sharp cones ⋮ Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions ⋮ 2D Schrödinger operators with singular potentials concentrated near curves ⋮ Leaky quantum structures ⋮ Eigenvalue counting function for Robin Laplacians on conical domains ⋮ Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces ⋮ Dirichlet spectrum of the Fichera layer ⋮ Spectral optimization for singular Schrödinger operators ⋮ Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane ⋮ Spectral properties of soft quantum waveguides
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