On the principal eigenvalue of a Robin problem with a large parameter
谱理论
2007-05-23 v2 偏微分方程分析
摘要
We study the asymptotic behaviour of the principal eigenvalue of a Robin (or generalised Neumann) problem with a large parameter in the boundary condition for the Laplacian in a piecewise smooth domain. We show that the leading asymptotic term depends only on the singularities of the boundary of the domain, and give either explicit expressions or two-sided estimates for this term in a variety of situations.
引用
@article{arxiv.math/0403179,
title = {On the principal eigenvalue of a Robin problem with a large parameter},
author = {Michael Levitin and Leonid Parnovski},
journal= {arXiv preprint arXiv:math/0403179},
year = {2007}
}
备注
16 pages; no figures; replaces math.SP/0403179; completely re-written