Abstract
We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain.
Citation
Rami Atar. Krzysztof Burdzy. "On Nodal Lines of Neumann Eigenfunctions." Electron. Commun. Probab. 7 129 - 139, 2002. https://doi.org/10.1214/ECP.v7-1055
Information
Accepted: 3 June 2002; Published: 2002
First available in Project Euclid: 16 May 2016
zbMATH: 1018.35059
MathSciNet: MR1937899
Digital Object Identifier: 10.1214/ECP.v7-1055
Subjects:
Primary:
35P99
Secondary:
60J65
Keywords:
eigenfunction
,
mirror coupling
,
Neumann problem
,
Nodal line
,
reflected Brownian motion
