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Pré-Publication, Document De Travail (Working Paper) Année : 2022

Resolvent and Spectral Asymptotics for Thin-Layer Transmission Problems in the Large Coupling Limit

Résumé

This work is concerned with a singular perturbation problem that involves a thin layer in the large coupling limit. Such a problem appears in the study of electromagnetic wave guides that contain supra-conductor bodies. We derive resolvent asymptotics for this problem by using boundary layer tools with uniform a priori estimates. This result will be useful to derive spectral asymptotics for this problem. This issue is a work in progress.
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Dates et versions

hal-03859342 , version 1 (18-11-2022)

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  • HAL Id : hal-03859342 , version 1

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Gilles Carbou, Victor Péron. Resolvent and Spectral Asymptotics for Thin-Layer Transmission Problems in the Large Coupling Limit. 2022. ⟨hal-03859342⟩
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