A Note on the Generalized Dumbbell Problem

DOI10.2307/2161294zbMath0829.58044OpenAlexW4253569522MaRDI QIDQ4845999

Colette Anné

Publication date: 21 August 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2161294

zbMATH Keywords

asymptoticsHilbert spacequadratic formspectrumLaplace operatoreigenfunctionssymmetric matrixsmall eigenvaluesDumbbell problem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbations of PDEs on manifolds; asymptotics (58J37)

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Convergence of Dirichlet eigenvalues for elliptic systems on perturbed domains ⋮ Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results ⋮ Unnamed Item ⋮ The spectrum of the Laplacian: A geometric approach ⋮ Unnamed Item ⋮ Shape optimization for low Neumann and Steklov eigenvalues ⋮ On Spectral Minimal Partitions: the Case of the Sphere ⋮ Asymptotic expansions of the eigenvalues of a 2-D boundary-value problem relative to two cavities linked by a hole of small size

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