Perturbation formula of eigenvalues in singularly perturbed domain
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Publication:1309195
DOI10.2969/jmsj/04520339zbMath0785.35069OpenAlexW2068582328MaRDI QIDQ1309195
Publication date: 27 April 1994
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2969/jmsj/04520339
Singular perturbations in context of PDEs (35B25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Dynamics in Dumbbell domains. I: Continuity of the set of equilibria ⋮ Some examples in one-dimensional ``geometric scattering on manifolds ⋮ Domain perturbation for elliptic equations subject to Robin boundary conditions ⋮ Convergence of Dirichlet eigenvalues for elliptic systems on perturbed domains ⋮ On scattering by a cylinder with a narrow slit and walls of finite thickness ⋮ Elliptic equations, principal eigenvalue and dependence on the domain ⋮ Sharp convergence rate of eigenvalues in a domain with a shrinking tube ⋮ Approximation of Eigenvalues of Elliptic Operators with Discontinuous Coefficients ⋮ Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems. ⋮ Rates of Eigenvalues on a Dumbbell Domain. Simple Eigenvalue Case ⋮ Eigenvalue convergence on perturbed Lipschitz domains for elliptic systems with mixed general decompositions of the boundary ⋮ Asymptotics of scattering frequencies with small imaginary parts for an acoustic resonator ⋮ Asymptotic behaviour of the Steklov spectrum on dumbbell domains
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