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Eigenvalues of the Laplacian for the third boundary value problem

Published online by Cambridge University Press:  17 February 2009

E. M. E. Zayed
E. M. E. Zayed
Affiliation:
Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt.
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Abstract

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The spectral function , where are the eigenvalues of the two-dimensional Laplacian, is studied for a variety of domains. The dependence of θ(t) on the connectivity of a domain and the impedance boundary conditions is analysed. Particular attention is given to a doubly-connected region together with the impedance boundary conditions on its boundaries.

Type
Research Article
Information
The ANZIAM Journal , Volume 29 , Issue 1 , July 1987 , pp. 79 - 87
Copyright
Copyright © Australian Mathematical Society 1987

References

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