The Neumann Laplacian of a Jelly Roll
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Publication:3987622
DOI10.2307/2159405zbMath0758.47005OpenAlexW4246809657MaRDI QIDQ3987622
Publication date: 28 June 1992
Full work available at URL: https://doi.org/10.2307/2159405
spectrumabsolutely continuous componentLaplacian with Neumann boundary conditionsremoving the spiral from the annulus
Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectrum, resolvent (47A10)
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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.
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