Asymptotic property for eigenelements of the Laplace operator in a domain with an oscillating boundary

DOI10.1002/zamm.202000374OpenAlexW4319788898MaRDI QIDQ6121543

Ahlem Jaouabi, Abdessatar Khelifi

Publication date: 26 March 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.202000374

zbMATH Keywords

boundary integral formulationgeneralized Rouché’s theorem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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• A real analyticity result for symmetric functions of the eigenvalues of a domain-dependent Neumann problem for the Laplace operator
• Root functions, eigenvectors, associated vectors and the inverse of a holomorphic operator function
• Singular variation of domains and eigenvalues of the Laplacian
• The boundary-value problem in domains with very rapidly oscillating boundary
• Splitting of resonant and scattering frequencies under shape deformation
• Partial differential equations. 2: Qualitative studies of linear equations
• Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions
• ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
• Sur Certaines Proprietes Spectrales Des Perturbations Du Domaine Dans Les Problemes Aux Limites
• Fifty years of eigenvalue perturbation theory
• Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
• Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues
• Asymptotic property and convergence estimation for the eigenelements of the Laplace operator
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
• Boundary-variation solution of eigenvalue problems for elliptic operators.

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