On the asymptotic distribution of eigenvalues for semi-elliptic operators-Reference-Cited by-同舟云学术

On the asymptotic distribution of eigenvalues for semi-elliptic operators

Published:1974 Issue:0 Volume:199 Page:295-315
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Tsutsumi Akira,Wang Chung Lie

Abstract

This paper is focused on the asymptotic distribution of eigenvalues for semielliptic operators under weaker smoothness assumptions on coefficients of operators than those of F. E. Browder [3] and Y. Kannai [8] by applying the method of Maruo-Tanabe [9].

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1974-199-00/S0002-9947-1974-0355373-4/S0002-9947-1974-0355373-4.pdf

Reference15 articles.

1. Van Nostrand Mathematical Studies, No. 2;Agmon, Shmuel,1965

2. Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators;Agmon, Shmuel;Arch. Rational Mech. Anal.,1967

3. The asymptotic distribution of eigenfunctions and eigenvalues for semi-elliptic differential operators;Browder, Felix E.;Proc. Nat. Acad. Sci. U.S.A.,1957

4. Sulle proprietà differenziali delle soluzioni delle equazioni quasi-ellittiche relativamente a domini normali;Cavallucci, Angelo;Boll. Un. Mat. Ital. (3),1966

5. Asymptotic behavior of integrals connected with spectral functions for hypoelliptic operators;Friberg, Jöran;Ark. Mat.,1967

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1. Asymptotic behavior of the spectrum of differential equations;Journal of Soviet Mathematics;1979-09