On nodal lines of Neumann eigenfunctions

Details On nodal lines of Neumann eigenfunctions On nodal lines of Neumann eigenfunctions

2002-03-02

arxiv.org/abs/math/0203017v1

Mathematics

Analysis of PDEs

Scientific paper

We present a new method for locating the nodal line of the second
eigenfunction for the Neumann problem in a planar domain. The technique is
based on the `mirror coupling' of reflected Brownian motions.

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