Point spectrum of elliptic operators in fibered half-cylinders and the related completeness problem

DOI10.1007/BF01195816zbMath0985.35051MaRDI QIDQ5931976

Tark Bouhennache

Publication date: 22 May 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Fourier transformcompletenesselliptic operatorsfibered half cylindersquadratic operator pencilquadratic operator pencilsselfadjoint operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General theory of partial differential operators (47F05) Spectral theory and eigenvalue problems for partial differential equations (35Pxx)

Related Items (2)

On completeness of root vectors of Schrodinger operators: a spectral approach ⋮ On the Existence of Positive Eigenvalues for the Isotropic Linear Elasticity System with Negative Shear Modulus

Cites Work

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• Self\(adjoint\) quadratic operator pencils and elliptic problems
• Problem of oscillations of an elastic half cylinder and related self- adjoint quadratic pencils
• Spectral analysis of an isotropic stratified elastic strip and applications

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