On the relative completeness of the generalized eigenvectors of elliptic eigenvalue problems with indefinite weight functions

DOI10.1007/BF01473441zbMath0572.47006OpenAlexW2001016588MaRDI QIDQ1062254

B. George

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182973

zbMATH Keywords

linear elliptic eigenvalue problemsecond order strongly uniformly elliptic differential operator for which the maximum principle holdssystem of generalized eigenvectors

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

On the spectrum of elliptic operators with respect to indefinite weights, On the eigenvalues of nonselfadjoint problems involving indefinite weights, Periodic-parabolic eigenvalue problems with indefinite weight functions, On an A Priori Estimate for Solutions of an Elliptic Equation, A priori bounds for solutions of an elliptic equation, Indefinite elliptic spectral problems, The generalization of the Keldysh theorem, Non-selfadjoint elliptic problems involving an ndeefinite weight, Elliptic Problems Involving an Indefinite Weight, Global dynamics of a diffusive competition model with habitat degradation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the principal eigenvalue of a second order linear elliptic problem
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• On some linear and nonlinear eigenvalue problems with an indefinite weight function
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION