Eigenvalues of the negative Laplacian for simply connected bounded domains |
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| Authors: | E M E Zayed |
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| Institution: | (1) Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt |
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| Abstract: | This paper is devoted to asymptotic formulae for functions related with the spectrum of the negative Laplacian in two and
three dimensional bounded simply connected domains with impedance boundary conditions, where the impedances are assumed to
be discontinuous functions. Moreover, asymptotic expressions for the difference of eigenvalues related to the impedance problems
with different impedances are derived. Further results may be obtained. |
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| Keywords: | Inverse problem Arbitrary bounded domains Negative Laplacian Eigenvalues Spectral function |
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