Spectral asymptotics of Laplacians on horns: The case of a rapidly growing counting function
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Publication:1289332
DOI10.1007/BF02463342zbMath0922.35107OpenAlexW2037515353MaRDI QIDQ1289332
Sergei Levendorskii, Svetlana Boyarchenko
Publication date: 14 October 1999
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02463342
Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Cites Work
- Nonclassical eigenvalue asymptotics
- On the asymptotic distribution of the eigenvalues of pseudodifferential operators in \(R^n\)
- 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
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