On the sharp effect of attaching a thin handle on the spectral rate of convergence-Reference-Cited by-同舟云学术

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On the sharp effect of attaching a thin handle on the spectral rate of convergence

Published:2014-03 Issue:6 Volume:266 Page:3632-3684
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Abatangelo Laura,Felli Veronica,Terracini Susanna

Funder

PRIN2009

Publisher

Elsevier BV

Subject

Analysis

Reference27 articles.

1. Neumann eigenvalue problems on exterior perturbations of the domain;Arrieta;J. Differential Equations,1995

2. On the singularities of the analytic continuation and the resonator properties of a solution of the dispersion problem for the Helmholtz equation;Arsen'ev;Zh. Vychisl. Mat. Mat. Fiz.,1972

3. Continuous dependence of eigenvalues on the domain;Babuška;Czechoslovak Math. J.,1965

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Sharp Behavior of Dirichlet–Laplacian Eigenvalues for a Class of Singularly Perturbed Problems;SIAM Journal on Mathematical Analysis;2024-01-09

2. Sharp convergence rate of eigenvalues in a domain with a shrinking tube;Journal of Differential Equations;2020-06

3. Rate of Convergence for Eigenfunctions of Aharonov-Bohm Operators with a Moving Pole;Springer INdAM Series;2017

4. Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles;Calculus of Variations and Partial Differential Equations;2015-10-28

5. Harmonic functions in union of chambers;Discrete and Continuous Dynamical Systems;2015-05

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