arXiv Open Access 2024

Curl curl versus Dirichlet Laplacian eigenvalues

Jonathan Rohleder

Lihat Sumber

Abstrak

We provide an upper estimate for the eigenvalues of the curl curl operator on a bounded, three-dimensional Euclidean domain in terms of eigenvalues of the Dirichlet Laplacian. The result complements recent inequalities between curl curl and Neumann Laplacian eigenvalues. The curl curl eigenvalues considered here correspond to the Maxwell eigenvalue problem with constant material parameters.

Topik & Kata Kunci

math.SP math.AP

Penulis (1)

Jonathan Rohleder

Format Sitasi

APA MLA BibTeX

Rohleder, J. (2024). Curl curl versus Dirichlet Laplacian eigenvalues. https://arxiv.org/abs/2404.11301

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓