arXiv Open Access 2013

Eigenfunctions for rectangles with Neumann boundary conditions

Thomas Hoffmann-Ostenhof
Lihat Sumber

Abstrak

Consider the eigenfunctions $u$ for a ree rectangular membrane wo that $-Δu=λu$ on $\mathcal R(c,d)=(0,d)\times(0,d)$. In this note we show that if if $u>0$ on $\partial \mathcal R(c,d)) then $u\equiv C$ for some positive constant.

Topik & Kata Kunci

Penulis (1)

T

Thomas Hoffmann-Ostenhof

Format Sitasi

Hoffmann-Ostenhof, T. (2013). Eigenfunctions for rectangles with Neumann boundary conditions. https://arxiv.org/abs/1301.7649

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2013
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓