The Neumann Laplacian of a Jelly Roll

DOI10.2307/2159405zbMath0758.47005OpenAlexW4246809657MaRDI QIDQ3987622

Barry Simon

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159405

zbMATH Keywords

spectrumabsolutely continuous componentLaplacian with Neumann boundary conditionsremoving the spiral from the annulus

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectrum, resolvent (47A10)

Related Items (15)

On spectral asymptotics for domains with fractal boundaries ⋮ Influence of bounded states in the Neumann Laplacian in a thin waveguide ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Weyl asymptotic formula for the Laplacian on domains with rough boundaries ⋮ Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions ⋮ Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ Solutions, spectrum, and dynamics for Schrödinger operators on infinite domains ⋮ Singular Schrödinger operators with prescribed spectral properties ⋮ Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions ⋮ Lieb-Thirring inequalities for geometrically induced bound states ⋮ On the lowest eigenvalue of the Laplacian with Neumann boundary condition at a small obstacle ⋮ Sharp remainder estimates in the Weyl formula for the Neumann Laplacian on a class of planar regions ⋮ On inverse spectral theory for selfadjoint extensions: Mixed types of spectra ⋮ Spectral properties of spiral-shaped quantum waveguides ⋮ Log-Sobolev inequalities and regions with exterior exponential cusps.

Cites Work

• The essential spectrum of Neumann Laplacians on some bounded singular domains
• Spectral properties of Neumann Laplacian of horns
• Unnamed Item

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