The essential spectrum of Neumann Laplacians on some bounded singular domains

From MaRDI portal
Publication:1180645

DOI10.1016/0022-1236(91)90130-WzbMath0741.35043MaRDI QIDQ1180645

Rainer Hempel, Luis A. Seco, Barry Simon

Publication date: 27 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)




Related Items (46)

The hot spots conjecture can be false: some numerical examplesBound states and scattering in quantum waveguides coupled laterally through a boundary windowInfluence of bounded states in the Neumann Laplacian in a thin waveguideTwelve tales in mathematical physics: An expanded Heineman prize lectureWeyl asymptotic formula for the Laplacian on domains with rough boundariesThe Birman-Krein formula for differential forms and electromagnetic scatteringAn annihilating-branching particle model for the heat equation with average temperature zeroEssential spectrum of the Laplacian for the Neumann problem in a model region of complicated structureBounds for the heat diffusion through windows of given areaOn scattering by a cylinder with a narrow slit and walls of finite thicknessEigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavitiesBilinear embedding for divergence-form operators with complex coefficients on irregular domainsConstruction of self‐adjoint differential operators with prescribed spectral propertiesOn creating new essential spectrum by self-adjoint extension of gapped operatorsBounds for eigenfunctions of the Neumann \(p\)-Laplacian on noncompact Riemannian manifoldsSpectrum of the Laplacian on a Domain Perturbed by Small ResonatorsDefining the spectral position of a Neumann domainCreating and controlling band gaps in periodic media with small resonatorsImproved upper bounds for the hot spots constant of Lipschitz domainsOn the Hersch-Payne-Schiffer inequalities for Steklov eigenvaluesPrincipal eigenvalues for generalised indefinite Robin problemsElliptic equations, principal eigenvalue and dependence on the domainEigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cuspsCharacterization of isoperimetric sets inside almost-convex conesManifold parametrizations by eigenfunctions of the Laplacian and heat kernelsA model of a boundary composed of the Helmholtz resonatorsSingular Schrödinger operators with prescribed spectral propertiesSpectral asymptotics with a remainder estimate of the Neumann Laplacian on horns: the case of the rapidly growing counting functionThe Neumann Laplacian of a Jelly RollBoundedness of solutions to the Schrödinger equation under Neumann boundary conditionsLieb-Thirring inequalities for geometrically induced bound statesGeometric lower bounds for the spectrum of elliptic PDEs with Dirichlet conditions in partOn the lowest eigenvalue of the Laplacian with Neumann boundary condition at a small obstacleShape optimization for low Neumann and Steklov eigenvaluesSharp remainder estimates in the Weyl formula for the Neumann Laplacian on a class of planar regionsNumerical Calculation of the Essential Spectrum of a LaplacianRates of Eigenvalues on a Dumbbell Domain. Simple Eigenvalue CaseOn inverse spectral theory for selfadjoint extensions: Mixed types of spectraOn Neumann eigenfunctions in lip domainsTraps for reflected Brownian motionHausdorff convergence and asymptotic estimates of the spectrum of a perturbed operatorNeumann spectral problem in a domain with very corrugated boundaryFractals, trees and the Neumann LaplacianSpectral stability of the Neumann Laplacian.Log-Sobolev inequalities and regions with exterior exponential cusps.A geometric approximation of δ-interactions by Neumann Laplacians



Cites Work


This page was built for publication: The essential spectrum of Neumann Laplacians on some bounded singular domains