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Polynomial growth or decay of eigenfunctions of second-order elliptic operators

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Publication:1109978
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DOI10.2977/prims/1195175868zbMath0656.35106OpenAlexW1972723240MaRDI QIDQ1109978

Jun Uchiyama

Publication date: 1987

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/1195175868

zbMATH Keywords

polynomial growthunbounded domainasymptotic behaviorsdecay of eigenfunctions


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)


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Ultra-weak time operators of Schrödinger operators, High-energy and smoothness asymptotic expansion of the scattering amplitude., Sharp estimates of lower bounds of polynomial decay order of eigenfunctions, Growth order of eigenfunctions of Schrödinger operators with potentials admitting some integral conditions. I: General theory, On the von Neumann and Wigner potentials, Spectral Theory for Magnetic Schrödinger Operators in Exterior Domains with Exploding and Oscillating Long-Range Potentials



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