Simple Neumann eigenvalues for the Laplace operator in a domain with a small hole

DOI10.1007/s13163-011-0081-8zbMath1302.35272OpenAlexW2143580615MaRDI QIDQ365130

Massimo Lanza de Cristoforis

Publication date: 4 September 2013

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-011-0081-8

zbMATH Keywords

Laplace operatorNeumann eigenvalues and eigenvectorsreal analytic continuation in Banach spacesingularly perturbed domain

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Estimates of eigenvalues in context of PDEs (35P15) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (20)

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Cites Work

• Spectra of domains with small spherical Neumann boundary
• Potential and scattering theory on wildly perturbed domains
• Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions
• Asymptotic behavior of the solutions of a nonlinear Robin problem for the Laplace operator in a domain with a small hole: a functional analytic approach
• Inverse acoustic and electromagnetic scattering theory
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