Asymptotic expansions of local eigenvibrations for plate with density perturbed in neighborhood of one-dimensional manifold

zbMath0995.47013MaRDI QIDQ1605556

A. S. Lavrenyuk, Yu. D. Golovatyj

Publication date: 21 July 2002

Published in: Matematychni Studiï (Search for Journal in Brave)

zbMATH Keywords

perturbationDirichlet boundary conditionsdensitybiharmonic operator2-parameter spectral problemlocal eigenvibrationsSanchez-Palencia local eigenvibrationstwo-term expansion of eigenvalues

Mathematics Subject Classification ID

Plates (74K20) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75)

Related Items (5)

Membranes with thin and heavy inclusions: Asymptotics of spectra ⋮ 2D Schrödinger operators with singular potentials concentrated near curves ⋮ On boundary value problem with singular inhomogeneity concentrated on the boundary ⋮ Asymptotic expansion of eigenelements of the Laplace operator in a domain with a large number of ‘light’ concentrated masses sparsely situated on the boundary. Two-dimensional case ⋮ Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator

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