On remainder estimates in the asymptotic formula of the distribution of eigenvalues of elliptic operators

DOI10.3792/pja/1195519626zbMath0252.35052OpenAlexW1989268845MaRDI QIDQ5665580

Hiroki Tanabe

Publication date: 1972

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195519626

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Higher-order elliptic equations (35J30)

Related Items

Asymptotic behavior of the spectrum of differential equations

Cites Work

• Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators
• Asymptotic behavior of the Green's functions and spectral function of an elliptic operator
• Asymptotic distribution of eigenvalues of non-symmetric operators associated with strongly elliptic sesquilinear forms