Singular perturbation of eigenvalues

DOI10.1007/BF00247463zbMath0184.13702MaRDI QIDQ2535770

W. M. Greenlee

Publication date: 1969

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

small parameterselliptic partial differential operatorsfractional powers of positive self-adjoint operatorrate of convergence of eigenvalues

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Elliptic equations and elliptic systems (35J99)

Related Items (10)

Convergence theorems for intermediate problems ⋮ Singular perturbations in optimal control problem with application to nonlinear structural analysis ⋮ Stability theorems for singular perturbation of eigenvalues ⋮ Optimal control of a variational inequality with application to the Kirchhoff plate having small flexural rigidity ⋮ Singular perturbation theory for semibounded operators ⋮ Singular perturbation potentials ⋮ Perturbation of bound states of the radial equation by repulsive singular potentials-first-order asymptotics ⋮ Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations ⋮ Singular perturbation theorems for semibounded operators ⋮ The Bilaplacian with Robin Boundary Conditions

Cites Work

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• Functional spaces and functional completion
• Theory of Bessel potentials. I
• Phénomènes de perturbation singulière dans les problèmes aux limites
• Potentiels besséliens
• Singular perturbations for partial differential equations
• Rate of convergence in singular perturbations
• Theory of Bessel potentials. II
• Caractérisation de quelques espaces d'interpolation
• Interpolation spaces and interpolation methods
• Perturbation theory of semi-bounded operators
• Differential operators on Riemannian manifolds
• On cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations
• Remarks on strongly elliptic partial differential equations
• Singular perturbation of eigenvalue problems for linear differential equations of even order

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