Lorentz Space Estimates for the Ginzburg-Landau Energy

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dc.creatorSerfaty, Sylvia
dc.creatorTice, Ian
dc.date2007-05-08
dc.date.accessioned2026-07-07T08:00:00Z
dc.date.available2026-07-07T08:00:00Z
dc.descriptionIn this paper we prove novel lower bounds for the Ginzburg-Landau energy with or without magnetic field. These bounds rely on an improvement of the "vortex balls construction" estimates by extracting a new positive term in the energy lower bounds. This extra term can be conveniently estimated through a Lorentz space norm, on which it thus provides an upper bound. The Lorentz space $L^{2,\infty}$ we use is critical with respect to the expected vortex profiles and can serve to estimate the total number of vortices and get improved convergence results.
dc.description52 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0705.1094
dc.identifierhttp://arxiv.org/abs/0705.1094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128580
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35J50, 58E50, 82D55
dc.titleLorentz Space Estimates for the Ginzburg-Landau Energy
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