Preprint

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

Pedro FreitasUniversity of LisbonKrejcirik, D.Nuclear Physics Institute

ArXiv.orgrepository2005en

ABI

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.

Topics

Nonlinear Partial Differential Equations Advanced Mathematical Modeling in Engineering Spectral Theory in Mathematical Physics

Identifiers

DOI: 10.48550/arxiv.math/0511516

Citations and references

Cited by 06 references

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