Asymptotic property and convergence estimation for the eigenelements of the Laplace operator

DOI10.1080/00036810701598039zbMath1146.35065OpenAlexW2060625966MaRDI QIDQ5443498

Abdessatar Khelifi

Publication date: 21 February 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701598039

zbMATH Keywords

eigenvalue problemLaplace operatorasymptotic formulas

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (4)

Asymptotic behaviors for eigenvalues and eigenfunctions associated to Stokes operator in the presence of small boundary perturbations ⋮ On the behavior of resonant frequencies in the presence of small anisotropic imperfections ⋮ On the asymptotic formulas for perturbations in the eigenvalues of the Stokes equations due to the presence of small deformable inclusions ⋮ Asymptotic property for eigenelements of the Laplace operator in a domain with an oscillating boundary

Cites Work

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• Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
• Asymptotic behaviour of the eigenvalues of the Dirichlet problem in a domain with a narrow slit
• An analyticity result for the dependence of multiple eigenvalues and eigenspaces of the laplace operator upon perturbation of the domain
• Boundary-variation solution of eigenvalue problems for elliptic operators.

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