Indefinite elliptic spectral problems

DOI10.1007/BF02677520zbMath0943.34067OpenAlexW1988411794MaRDI QIDQ1972646

Sergei G. Pyatkov

Publication date: 13 April 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02677520

zbMATH Keywords

sufficient conditionsbasis property for the eigenelements and associated functionsindefinite spectral problem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (2)

Indefinite Sturm-Liouville operators in polar form ⋮ \(L^p\)-estimates for a transmission problem of mixed elliptic-parabolic type

Cites Work

• A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function
• Half-range completeness for the Fokker-Planck equation. I
• On the relative completeness of the generalized eigenvectors of elliptic eigenvalue problems with indefinite weight functions
• On the regularity of the critical point infinity of definitizable operators
• Half-range solutions of indefinite Sturm-Liouville problems
• Remainder estimates for the asymptotics of elliptic eigenvalue problems with indefinite weights
• Spectral methods in linear transport theory
• A Krein space approach to elliptic eigenvalue problems with indefinite weights
• Some properties of eigenfunctions of linear pencils
• Asymptotic analysis of a singular Sturm-Liouville boundary value problem
• Full- and partial-range eigenfunction expansions for Sturm-Liouville problems with indefinite weights
• Elliptic Problems Involving an Indefinite Weight
• Eigenvalues of Elliptic Boundary Value Problems With an Indefinite Weight Function
• Partial-range completeness and existence of solutions to two-way diffusion equations
• RIESZ COMPLETENESS OF THE EIGENELEMENTS AND ASSOCIATED ELEMENTS OF LINEAR SELFADJOINT PENCILS
• Non-selfadjoint elliptic problems involving an ndeefinite weight
• Elliptic eigenvalue problems with an indefinite weight function
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