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Asymptotics of a spectral problem connected with the Laplace-Beltrami operator on a manifold with boundary

✍ Scribed by V. Ya. Ivrii


Publisher
Springer US
Year
1983
Tongue
English
Weight
126 KB
Volume
17
Category
Article
ISSN
0016-2663

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## Abstract We study the asymptotic behavior of the eigenvalues and the eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold __M__^Ξ΅^ depending on a small parameter Ξ΅>0 and whose structure becomes complicated as Ξ΅β†’0. Under a few assumptions on scales of __M__^Ξ΅^ we obtain the ho