Sharp estimates of lower bounds of polynomial decay order of eigenfunctions

DOI10.2977/prims/1195170954zbMath0737.35044OpenAlexW2050795573MaRDI QIDQ1173966

Osanobu Yamada, Jun Uchiyama

Publication date: 25 June 1992

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/1195170954

zbMATH Keywords

Schrödinger type equationsatomic-type many body potentialpolynomial decay of eigenfunctions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Estimates of eigenvalues in context of PDEs (35P15) Second-order elliptic equations (35J15)

Related Items (4)

A note on the nonrelativistic limit of Dirac operators and spectral concentration ⋮ Riemannian submersions, minimal immersions and cohomology class ⋮ Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. I: General theory ⋮ Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. II: Applications

Cites Work

• Polynomial growth or decay of eigenfunctions of second-order elliptic operators
• Lower bounds for solutions of Schrödinger equations
• Unnamed Item

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