Explicit terms in the small volume expansion of the shift of Neumann Laplacian eigenvalues due to a grounded inclusion in two dimensions

DOI10.1016/j.jmaa.2017.07.027OpenAlexW2739392043MaRDI QIDQ1746251

Alexander Dabrowski

Publication date: 24 April 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.027

zbMATH Keywords

asymptotic expansionLaplacian eigenvalueseigenvalue perturbationsingular domain perturbationsmall volume expansion

Mathematics Subject Classification ID

Partial differential equations (35-XX) Linear and multilinear algebra; matrix theory (15-XX)

Related Items (3)

Perturbation of the scattering resonances of an open cavity by small particles. I: The transverse magnetic polarization case ⋮ Wave Enhancement Through Optimization of Boundary Conditions ⋮ Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators

Cites Work

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• Splitting of resonant and scattering frequencies under shape deformation
• Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions
• Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou

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