Dirichlet-Neumann bracketing for horn-shaped regions

DOI10.1016/0022-1236(92)90092-WzbMath0763.35071MaRDI QIDQ1188106

Michiel van den Berg

Publication date: 13 August 1992

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

zbMATH Keywords

spectral counting functionDirichlet Laplaceansharp upper and lower bounds

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (8)

Asymptotics for the spectral heat function and bounds for integrals of Dirichlet eigenfunctions ⋮ Spectral asymptotics of Laplace operators on surfaces with cusps ⋮ Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions ⋮ On the spectral counting function for the Dirichlet Laplacian ⋮ Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries ⋮ Quantum leaks ⋮ SHARP SPECTRAL ESTIMATES IN DOMAINS OF INFINITE VOLUME ⋮ On the eigenvalue counting function for weighted Laplace-Beltrami operators

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