arXiv Open Access 2017

Eigenvalue Asymptotics of Narrow Domains

Lanbo Fang

Lihat Sumber

Abstrak

In this paper, we considered the spectrum of the Dirichlet Laplacian $Δ_ε$ on $Ω_ε=\{(x,y): -l_1<x<l_2, 0<y<εh(x)]\}$ where $ l_1,l_2>0$ and $h(x)$ is a positive analytic function having $0$ the only point where it achieves its global maximum $M$. In particular we studied in details about the full asymptotics of the eigenvalues.

Topik & Kata Kunci

math.SP

Penulis (1)

Lanbo Fang

Format Sitasi

APA MLA BibTeX

Fang, L. (2017). Eigenvalue Asymptotics of Narrow Domains. https://arxiv.org/abs/1706.05457

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓