arXiv Open Access 2021

Neumann Laplacian in a perturbed domain

Diana Barseghyan Baruch Schneider Ly Hong Hai

Lihat Sumber

Abstrak

We consider a domain with a small compact set of zero Lebesgue measure of removed. Our main result concerns the spectrum of the Neumann Laplacian defined on such domain. We prove that the spectrum of the Laplacian converges in the Hausdorff distance sense to the spectrum of the Laplacian defined on the unperturbed domain.

Topik & Kata Kunci

math.SP

Penulis (3)

Diana Barseghyan

Baruch Schneider

Ly Hong Hai

Format Sitasi

APA MLA BibTeX

Barseghyan, D., Schneider, B., Hai, L.H. (2021). Neumann Laplacian in a perturbed domain. https://arxiv.org/abs/2108.03646

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓