Localization effects for eigenfunctions near to the edge of a thin domain
Nazarov, Serguei A.
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Displaying similar documents to “Shape sensitivity analysis of eigenvalues revisited”
Localization effects for eigenfunctions near to the edge of a thin domain
Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the laplacian on thin planar domains
Denis Borisov, Pedro Freitas (2009)
Annales de l'I.H.P. Analyse non linéaire
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Localization effects for eigenfunctions near to the edge of a thin domain
Serguei A. Nazarov (2002)
Mathematica Bohemica
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It is proved that the first eigenfunction of the mixed boundary-value problem for the Laplacian in a thin domain is localized either at the whole lateral surface of the domain, or at a point of , while the eigenfunction decays exponentially inside . Other effects, attributed to the high-frequency range of the spectrum, are discussed for eigenfunctions of the mixed boundary-value and Neumann problems, too.
On the spectrum of the negative Laplacian for general doubly-connected bounded domains.
Zayed, E.M.E., Younis, A.I. (1995)
International Journal of Mathematics and Mathematical Sciences
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Zayed, E.M.E. (1991)
International Journal of Mathematics and Mathematical Sciences
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