The asymptotic distribution of eigenvalues of the Laplace operator in an unbounded domain

1 February 1976

journal article
research article
Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal

Vol. 60, 7-33
https://doi.org/10.1017/s0027763000017153

Abstract

This paper is devoted to the study of the asymptotic distribution of eigenvalues of the Laplace operator with zero boundary conditions in a quasi-bounded domain contained in Euclidean space R².

Keywords

ASYMPTOTIC DISTRIBUTION
UNBOUNDED
DEVOTED
QUASI
EUCLIDEAN
BOUNDARY
DISTRIBUTION OF EIGENVALUES
LAPLACE

This publication has 3 references indexed in Scilit:

Caract risation de quelques espaces d'interpolation
Archive for Rational Mechanics and Analysis, 1967
On the eigenvalues of the Laplacian in an unbounded domain
Archive for Rational Mechanics and Analysis, 1967
An asymptotic formula for the eigenvalues of the Laplacian operator in an unbounded domain
Bulletin of the American Mathematical Society, 1966