Pleijel's nodal domain theorem for free membranes

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dc.creatorPolterovich, Iosif
dc.date2008-05-11
dc.date.accessioned2026-07-07T09:38:17Z
dc.date.available2026-07-07T09:38:17Z
dc.descriptionWe prove an analogue of Pleijel's nodal domain theorem for piecewise analytic planar domains with Neumann boundary conditions. This confirms a conjecture made by Pleijel in 1956. The proof is a combination of Pleijel's original approach and an estimate due to Toth and Zelditch for the number of boundary zeros of Neumann eigenfunctions.
dc.description4 pages; to appear in the Proceedings of the AMS
dc.identifierhttps://arxiv.org/abs/0805.1553
dc.identifierhttp://arxiv.org/abs/0805.1553
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160752
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject35B05; 35P99
dc.titlePleijel's nodal domain theorem for free membranes
dc.typetext

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