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- W2080972527 abstract "We study the asymptotic behaviour of the eigenvalues of the Laplace-Beltrami operator on a compact hypersurface in mathds{R}^{n+1} as it is flattened into a singular double-sided flat hypersurface. We show that the limit spectral problem corresponds to the Dirichlet and Neumann problems on one side of this flat (Euclidean) limit, and derive an explicit three-term asymptotic expansion for the eigenvalues where the remaining two terms are of orders varepsilon^2logvarepsilon and varepsilon^2." @default.
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- W2080972527 date "2013-11-03" @default.
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- W2080972527 title "On the spectrum of deformations of compact double-sided flat hypersurfaces" @default.
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- W2080972527 doi "https://doi.org/10.2140/apde.2013.6.1051" @default.
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