An inverse eigenvalue problem for an arbitrary multiply connected bounded region: An extension to higher dimensions.

Zayed, E.M.E.

Displaying similar documents to “An inverse eigenvalue problem for an arbitrary multiply connected bounded region: An extension to higher dimensions.”

An inverse eigenvalue problem for an arbitrary multiply connected bounded region in $R^{2}$ .

Zayed, E.M.E. (1991)

International Journal of Mathematics and Mathematical Sciences

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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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Hearing the shape of membranes: Further results.

Zayed, E.M.E. (1990)

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Eigenvalues of the negative Laplacian for arbitrary multiply connected domains.

Zayed, E.M.E. (1996)

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An inverse problem for a general annular drum with positive smooth functions in the Robin boundary conditions.

E. M. E. Zayed (2000)

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Inequalities for Dirichlet and Neumann eingenvalues of the laplacian for domains on spheres

M. Ashbaugh, Howard A. Levine (1997)

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Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions.

Zayed, E.M.E. (1997)

International Journal of Mathematics and Mathematical Sciences

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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 $Ω_{h}$ is localized either at the whole lateral surface $Γ_{h}$ of the domain, or at a point of $Γ_{h}$ , while the eigenfunction decays exponentially inside $Ω_{h}$ . Other effects, attributed to the high-frequency range of the spectrum, are discussed for eigenfunctions of the mixed boundary-value and Neumann problems, too.