Eigenvalues of the Negative Laplacian for Simply Connected Bounded Domains

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E.M.E.Zayed (Mathematics Department
Faculty of Science
Zagazig University
Zagazig
Egypt)
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<正> This paper is devoted to asymptotic formulae for functions related with the spectrumof the negative Laplacian in two and three dimensional bounded simply connected domains withimpedance boundary conditions,where the impedances are assumed to be discontinuous functions.Moreover,asymptotic expressions for the difference of eigenvalues related to the impedance problemswith different impedances are derived.Further results may be obtained.
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页码:337 / 346
页数:10
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