Spectral asymptotics of the Dirichlet Laplacian on a generalized parabolic layer

DOI10.1007/s00020-020-2571-xzbMath1439.35355arXiv1805.12448OpenAlexW3011007239MaRDI QIDQ2176069

Vladimir Lotoreichik, Pavel Exner

Publication date: 4 May 2020

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.12448

zbMATH Keywords

unbounded domainsdiscrete spectrumspectral asymptoticsDirichlet Laplacian(generalized) parabolic layers

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Optimization of the lowest eigenvalue of a soft quantum ring ⋮ Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension ⋮ Spectral properties of soft quantum waveguides

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