Lower bounds of decay order of eigenfunctions of second-order elliptic operators

DOI10.2977/prims/1195178516zbMath0616.35070OpenAlexW2039655074MaRDI QIDQ1821271

Jun Uchiyama

Publication date: 1985

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/1195178516

zbMATH Keywords

eigenvaluesestimateslower boundssecond order elliptic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (2)

Decay order of eigenfunctions of second-order elliptic operators in an unbounded domain, and its applications ⋮ On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials

Cites Work

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• Lower bounds of growth order of solutions of Schrödinger equations with homogeneous potentials
• Growth properties of solutions of second order elliptic differential equations
• On the asymptotic behavior of eigenfunctions of second-order elliptic operators
• Asymptotic decay of the solution of a second-order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian
• Non-existence of eigenvalues of Schrödinger operators
• On eigenvalues in the continuum of 2-body or many-body Schrödinger operators

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