On the asymptotic behavior of the discrete spectrum of the Dirichlet and Neumann problems for the Laplace-Beltrami operator on a regular polyhedron in the Lobachevskij space

DOI10.1007/BF01077914zbMath0721.35050MaRDI QIDQ2640785

L. B. Parnovskij, Boris Moiseevich Levitan

Publication date: 1990

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemdiscrete spectrumNeumann problemLobachevskij space

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Generalized eigenfunctions and eigenvalues: A unifying framework for Shnol-type theorems

Cites Work

• On the asymptotc behaviour of the spectral function and discrete spectrum of the Laplace operator on a fundamental domain of Lobachevsky's plane
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