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 {λ j } ∞ j=1 for the Laplace operator, using the asymptotic expansion of the spectral function Θ(t)=Σ ∞ j=1 exp(−tλ j ) ast→0.
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Zayed, E.M.E. Heat equation for an arbitrary doubly-connected region inR 2 with mixed boundary conditions. Z. angew. Math. Phys. 40, 339–355 (1989). https://doi.org/10.1007/BF00945010
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DOI: https://doi.org/10.1007/BF00945010