Heat equation for an arbitrary doubly-connected region inR
2 with mixed boundary conditions |
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| Authors: | E M E Zayed |
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| Institution: | (1) Mathematics Department, Zagazig University, Faculty of Science, Zagazig, Egypt;(2) Present address: Mathematics Department, University of Emirates, Faculty of Science, P.O. Box 15551, Al Ain, United Arab Emirates |
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| Abstract: | The basic problem in this paper is that of determining the geometry of an arbitrary doubly-connected region inR
2 with mixed boundary conditions, from the complete knowledge of the eigenvalues {
j
}
j=1
for the Laplace operator, using the asymptotic expansion of the spectral function  (t)=
j=1
exp(–t
j
) ast 0. |
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| Keywords: | |
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