Mathematical Research Letters

Volume 14, Issue 1, January 2007 pp. 107-111.

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

Authors: Pedro Freitas (1) and David Krejcirík (2)
Author institution: University of Lisbon (1) and Nuclear Physics Institute (2)

Summary: 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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