Asymptotic formulae with remainder estimates for eigenvalues of schrödinger operators

DOI10.1080/03605308208820216zbMath0525.35064OpenAlexW2036224954MaRDI QIDQ3039823

Hideo Tamura

Publication date: 1982

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308208820216

zbMATH Keywords

Fourier integral operatorasymptotic formulaeharmonic oscillationremainder estimateseigenvalues of Schrödinger operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

Boundary behaviour of p-harmonic functions in domains beyond Lipschitz domains ⋮ Pleijel's theorem for Schrödinger operators with radial potentials

Cites Work

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• Asymptotic behavior of the spectrum of differential equations
• On the asymptotic distribution of the eigenvalues of pseudodifferential operators in \(R^n\)
• On a theorem by P. Malliavin
• The spectral function of an elliptic operator
• Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis
• Proprietes spectrales d'operators pseduo-differentiels
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• The Asymptotic Distribution of Eigenvalues and Eigenfunctions for Elliptic Boundary Value Problems
• Asymptotic formulas with sharp remainder estimates for eigenvalues of elliptic operators of second order

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