arXiv Open Access 2021

Semi-classical edge states for the Robin Laplacian

B. Helffer A. Kachmar

Lihat Sumber

Abstrak

Motivated by the study of high energy Steklov eigenfunctions, we examine the semi-classical Robin Laplacian. In the two dimensional situation, we determine an effective operator describing the asymptotic distribution of the negative eigenvalues, and we prove that the corresponding eigenfunctions decay away from the boundary, for all dimensions.

Topik & Kata Kunci

math.SP

Penulis (2)

B. Helffer

A. Kachmar

Format Sitasi

APA MLA BibTeX

Helffer, B., Kachmar, A. (2021). Semi-classical edge states for the Robin Laplacian. https://arxiv.org/abs/2102.07187

Akses Cepat

Lihat di Sumber

Informasi Jurnal

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