Square integrable solutions of \(\Delta u+\lambda u=0\) on noncompact manifolds

DOI10.3836/tjm/1244208854zbMath1028.58031OpenAlexW1963533037MaRDI QIDQ1812485

Reiji Konno

Publication date: 12 October 2003

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208854

zbMATH Keywords

noncompact Riemannian manifoldSchrödinger-type equation

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Cites Work

• Noncompact Riemannian manifolds with purely continuous spectrum
• The spectrum of the Laplacian on a manifold of negative curvature. I
• Spectral geometry for certain noncompact Riemannian manifolds
• Eigenvalues embedded in the continuum for negatively curved manifolds
• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• Growth properties of solutions of the reduced wave equation with a variable coefficient

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