Asymptotics of the distribution of eigenvalues of a selfadjoint second order hyperbolic differential operator on the two-dimensional torus

DOI10.1007/S11202-010-0084-6zbMath1204.47061OpenAlexW2154641220MaRDI QIDQ610296

V. M. Kaplitskiĭ

Publication date: 8 December 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0084-6

zbMATH Keywords

spectrumdistribution of eigenvalueshyperbolic operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Hyperbolic equations on manifolds (58J45)

Related Items (2)

Unexpected spectral asymptotics for wave equations on certain compact spacetimes ⋮ Weyl asymptotics for tensor products of operators and Dirichlet divisors

Cites Work

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• Asymptotic behavior of spectra of operators which are close to normal
• FINITE ACTION KLEIN–GORDON SOLUTIONS ON LORENTZIAN MANIFOLDS
• Asymptotic behaviour of the discrete spectrum of a quasi-periodic boundary value problem for a two-dimensional hyperbolic equation
• A THEOREM ON COMPARISON OF SPECTRA, AND THE SPECTRAL ASYMPTOTICS FOR A KELDYSH PENCIL
• ASYMPTOTICS OF THE EIGENVALUES OF HYPOELLIPTIC OPERATORS ON A CLOSED MANIFOLD
• Square integrable solutions to the Klein-Gordon equation on a manifold

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