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...

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Bibliographic Details
Main Authors: V. Chiadò Piat, S.A. Nazarov
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818120300073