Lower bounds of decay order of eigenfunctions of second-order elliptic operators
type: Item
instance of: scholarly article
title: Lower bounds of decay order of eigenfunctions of second-order elliptic operators
zbMATH Open document ID: 0616.35070
author: Jun Uchiyama
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1985-01-01T00:00:00Z
review text: Some estimates for the lower bounds of eigenvalues are established for the second order elliptic equations of the form: \[ -(D,ADu)+qu=\lambda u\quad in\quad \Omega;\quad u\in H^ 2_{loc} (\Omega) \] supp u is not a compact subset of \(\Omega\).
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 3998371
zbMATH Keywords: estimates
zbMATH Keywords: lower bounds
zbMATH Keywords: eigenvalues
zbMATH Keywords: second order elliptic equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195178516
OpenAlex ID: W2039655074
cites work: Q3969238
cites work: Asymptotic decay of the solution of a second-order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian
cites work: Q3952468
cites work: On the asymptotic behavior of eigenfunctions of second-order elliptic operators
cites work: Non-existence of eigenvalues of Schrödinger operators
cites work: Growth properties of solutions of second order elliptic differential equations
cites work: On eigenvalues in the continuum of 2-body or many-body Schrödinger operators
cites work: Lower bounds of growth order of solutions of Schrödinger equations with homogeneous potentials
DOI: 10.2977/PRIMS/1195178516
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description: scientific article; zbMATH DE number 3998371