Spectrum asymptotics of a perturbed Laplace-Beltrami operator on a three-dimensional sphere

DOI10.1134/S1064562411070258zbMath1242.47037MaRDI QIDQ416877

J. Herrera, H. S. Yoon

Publication date: 10 May 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

perturbationLaplace-Beltrami operatorspectrum asymptoticsthree-dimensional sphere

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05)

Cites Work

• Asymptotics of the eigenvalues and the formula for the trace of perturbations of the Laplace operator on the sphere \(\mathbb{S}^2\)

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