arXiv Open Access 2008

Pleijel's nodal domain theorem for free membranes

Iosif Polterovich

Lihat Sumber

Abstrak

We prove an analogue of Pleijel's nodal domain theorem for piecewise analytic planar domains with Neumann boundary conditions. This confirms a conjecture made by Pleijel in 1956. The proof is a combination of Pleijel's original approach and an estimate due to Toth and Zelditch for the number of boundary zeros of Neumann eigenfunctions.

Topik & Kata Kunci

math.SP math.AP

Penulis (1)

Iosif Polterovich

Format Sitasi

APA MLA BibTeX

Polterovich, I. (2008). Pleijel's nodal domain theorem for free membranes. https://arxiv.org/abs/0805.1553

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2008
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓