On the remainder in the Weyl formula for the Euclidean disk
Mathematical Physics
2011-05-11 v2 Classical Analysis and ODEs
math.MP
Spectral Theory
Abstract
We prove a 2-terms Weyl formula for the counting function N(mu) of the spectrum of the Laplace operator in the Euclidean disk with a sharp remainder estimate O(mu^2/3).
Keywords
Cite
@article{arxiv.1104.2233,
title = {On the remainder in the Weyl formula for the Euclidean disk},
author = {Yves Colin De Verdière},
journal= {arXiv preprint arXiv:1104.2233},
year = {2011}
}