Boundary-variation solution of eigenvalue problems for elliptic operators.

DOI10.1007/BF02510422zbMath1108.35379MaRDI QIDQ5937488

Fernando Reitich, Oscar P. Bruno

Publication date: 12 July 2001

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

Full work available at URL: https://eudml.org/doc/59677

zbMATH Keywords

elliptic operatorsanalytic continuationboundary perturbationseigenvalues and eigenfunctions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Spectral theory and eigenvalue problems for partial differential equations (35P99) Analyticity in context of PDEs (35A20) Perturbations in context of PDEs (35B20)

Related Items (4)

Splitting of resonant and scattering frequencies under shape deformation ⋮ Asymptotic property for eigenelements of the Laplace operator in a domain with an oscillating boundary ⋮ Asymptotic property and convergence estimation for the eigenelements of the Laplace operator ⋮ Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains

Cites Work

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• Fifty years of eigenvalue perturbation theory
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• Cauchy integrals on Lipschitz curves and related operators
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