Asymptotic spectrum of multiparameter eigenvalue problems

DOI10.1017/S0013091500022835zbMath0857.47012MaRDI QIDQ4893690

Hans W. Volkmer

Publication date: 18 September 1996

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hilbert spacemultiparameter Sturm-Liouville problemasymptotic spectrummultiparameter eigenvalue problemminimum-maximum principle

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Cites Work

• Sturm-Liouville problems with several parameters
• Comparison cones for multiparameter eigenvalue problems
• Two parameter asymptotic spectra
• Multiparameter eigenvalue problems and expansion theorems
• Methods of intermediate problems for eigenvalues. Theory and ramifications
• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space
• Distribution of Eigenvalues of A Two-Parameter System of Differential Equations