Asymptotic behavior of solutions of \(-\Delta v+qv=\lambda v\) and the distance of \(\lambda\) to the essential spectrum

DOI10.1007/BF01161966zbMath0622.35053OpenAlexW2911664925MaRDI QIDQ1090856

Andreas M. Hinz

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/173825

zbMATH Keywords

growthexistenceSchrödinger operatorsdecayessential spectrumdistributional solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Polynomial boundedness of eigensolutions and the spectrum of Schrödinger operators

Cites Work

• Spectrum and continuum eigenfunctions of Schrödinger operators
• Bemerkungen über Schrödinger-Operatoren mit stark singulären Potentialen
• Pointwise bounds for solutions of the equation - ∆v + pv = 0.
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