Unbounded planar domains whose second nodal line does not touch the boundary

Details Unbounded planar domains whose second nodal line does not touch the boundary Unbounded planar domains whose second nodal line does not touch the boundary

2005-11-21

arxiv.org/abs/math/0511516v1

Math. Res. Lett. 14 (2007), no.1, pp. 107-111.

Mathematics

Spectral Theory

LaTeX with 2 eps figures, 5 pages; to appear in Mathematical Research Letters

Scientific paper

We show the existence of simply-connected unbounded planar domains for which
the second nodal line of the Dirichlet Laplacian does not touch the boundary.

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