Spectral asymptotics with a remainder estimate of the Neumann Laplacian on horns: the case of the rapidly growing counting function

DOI10.1017/S0308210500027128zbMath0897.58039OpenAlexW2100103020MaRDI QIDQ4380621

Svetlana Boyarchenko, Sergei Levendorskii

Publication date: 4 May 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500027128

zbMATH Keywords

Schrödinger operatorWeyl formulaWeyl-Hörmander calculusapproximate spectral projection method

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Cites Work

• Unnamed Item
• Nonclassical eigenvalue asymptotics
• Trace properties of the Dirichlet Laplacian
• Asymptotische Eigenwertverteilung des Laplace-Operators in bestimmten unbeschränkten Gebieten mit Neumannschen Randbedingungen und Restgliedabschätzungen. (Asymptotic distribution of eigenvalues of the Laplace operator in certain unbounded domains with Neumann boundary conditions and remainder estimates)
• The essential spectrum of Neumann Laplacians on some bounded singular domains
• Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps
• Spectral properties of Neumann Laplacian of horns
• On the spectrum of the Dirichlet Laplacian for Horn-shaped regions in \(R^ n\) with infinite volume
• Sobolev Embeddings for Generalized Ridged Domains
• The asymptotic distribution of eigenvalues of the Laplace operator in an unbounded domain
• The weyl calculus of pseudo-differential operators
• Spectral asymptotics with a remainder estimate for Schrödinger operators with slowly growing potentials
• ON THE EIGENVALUES OF THE FIRST BOUNDARY VALUE PROBLEM IN UNBOUNDED DOMAINS

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