Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. II: Applications

DOI10.2977/prims/1195162714zbMath0892.35111OpenAlexW1995144143MaRDI QIDQ679144

Jun Uchiyama, Masaharu Arai

Publication date: 3 August 1998

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195162714

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Spectral distributions for long range perturbations ⋮ Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. I: General theory ⋮ On the von Neumann and Wigner potentials

Cites Work

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• Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. I: General theory
• Sharp estimates of lower bounds of polynomial decay order of eigenfunctions
• Lower bounds for solutions of Schrödinger equations
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• On the Absence of Positive Eigenvalues of Schrodinger Operators with Long Range Potentials
• Unique continuation for elliptic operators: A geometric-variational approach
• On the Positive Spectrum of Schrodinger Operators with Long Range Potentials

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