Hardy inequalities in strips on ruled surfaces

Simple item page
dc.creatorKrejcirik, David
dc.date2005-11-10
dc.date.accessioned2026-07-07T07:49:21Z
dc.date.available2026-07-07T07:49:21Z
dc.descriptionWe consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvature of the ambient surface gives rise to a Hardy inequality and use this to prove certain stability of spectrum in the case of asymptotically straight strips about mildly perturbed geodesics.
dc.descriptionLaTeX, 10 pages; to appear in Journal of Inequalities and Applications
dc.identifierhttps://arxiv.org/abs/math/0511257
dc.identifierhttp://arxiv.org/abs/math/0511257
dc.identifierJ. Inequal. Appl. 2006 (2006), Article ID 46409, 10 pages.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124812
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject58J50; 35P99; 81Q10
dc.titleHardy inequalities in strips on ruled surfaces
dc.typetext

Files

Collections

arXiv