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arxiv: math/0511516 · v1 · submitted 2005-11-21 · 🧮 math.SP · math.AP

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

classification 🧮 math.SP math.AP
keywords boundarydomainslinenodalplanarsecondtouchunbounded
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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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