Mathematical Research Letters

Volume 14 (2007)

Number 1

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

Pages: 107 – 111

DOI: https://dx.doi.org/10.4310/MRL.2007.v14.n1.a9

Authors

Pedro Freitas (University of Lisbon)

David Krejcirík (Nuclear Physics Institute)

Abstract

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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Published 1 January 2007