On the Spectral Gap for Convex Domains

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dc.creatorDavis, Burgess
dc.creatorHosseini, Majid
dc.date2006-07-08
dc.date.accessioned2026-07-07T07:18:12Z
dc.date.available2026-07-07T07:18:12Z
dc.descriptionWe prove the following for a bounded convex planar domain that is symmetric with respect to both coordinate axes. Consider a centered rectangle with sides parallel to the axes that strictly contains the domain. If the domain is not a certain kind of rectangle, the spectral gap of the domain is larger than the spectral gap of the rectangle. We also provide explicit lower bounds for the differnce between the gaps.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0607219
dc.identifierhttp://arxiv.org/abs/math/0607219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114212
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject35P15; 35K05; 60J65
dc.titleOn the Spectral Gap for Convex Domains
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