Steklov spectral problems in a set with a thin toroidal hole
The paper concerns the Steklov spectral problem for the Laplace operator, and some variants in a 3-dimensional bounded domain, with a cavity Γεhaving the shape of a thin toroidal set, with a constant cross-section of diameter ε≪1. We construct the main terms of the asymptotic expansion of the eigenv...
Main Authors: | V. Chiadò Piat, S.A. Nazarov |
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Format: | Article |
Language: | English |
Published: |
Elsevier
2020-09-01
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Series: | Partial Differential Equations in Applied Mathematics |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818120300073 |
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