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Journal Articles Journal of Mathematical Analysis and Applications Year : 2016

Asymptotics of a spectral-sieve problem

Abstract

In a bounded domain with a thin periodically punctured interface we study the limit behavior of the bottom of spectrum for a Steklov type spectral problem, the Steklov boundary condition being imposed on the perforation surface. For a certain range of parameters we construct the effective spectral problem and justify the convergence of eigenpairs

Dates and versions

hal-01905331 , version 1 (25-10-2018)

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Youcef Amirat, Olivier Bodart, Gregory A. Chechkin, Andrey L. Piatnitski. Asymptotics of a spectral-sieve problem. Journal of Mathematical Analysis and Applications, 2016, 435 (2), pp.1652-1671. ⟨10.1016/j.jmaa.2015.11.014⟩. ⟨hal-01905331⟩
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