Nodal domains and spectral minimal partitions

dc.creatorHelffer, B.
dc.creatorHoffmann-Ostenhof, T.
dc.creatorTerracini, S.
dc.date2006-10-31
dc.date.accessioned2026-07-07T07:29:41Z
dc.date.available2026-07-07T07:29:41Z
dc.descriptionWe consider two-dimensional Schrödinger operators in bounded domains. We analyze relations between nodal domains of eigenfunctions, spectral minimal partitions and spectral properties of the corresponding operator. The main results concern the existence and regularity of the minimal partitions associated with the nodal sets as the nodal domains of Courant-sharp eigenfunctions.
dc.identifierhttps://arxiv.org/abs/math/0610975
dc.identifierhttp://arxiv.org/abs/math/0610975
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118204
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject35J20, 35J99
dc.titleNodal domains and spectral minimal partitions
dc.typetext

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