On solutions to the Ginzburg-Landau equations in higher dimensions

Simple item page
dc.creatorBrendle, Simon
dc.date2003-02-06
dc.date2003-08-13
dc.date.accessioned2026-07-07T04:55:04Z
dc.date.available2026-07-07T04:55:04Z
dc.descriptionWe establish a glueing theorem for the Ginzburg-Landau equations in dimension $n > 2$. To this end, we consider a nondegenerate minimal submanifold of codimension 2, and construct a one-parameter family of solutions to the Ginzburg-Landau equations such that the energy density concentrates near this submanifold. The proof is based on a construction of suitable approximate solutions and the implicite function theorem.
dc.identifierhttps://arxiv.org/abs/math/0302070
dc.identifierhttp://arxiv.org/abs/math/0302070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66460
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleOn solutions to the Ginzburg-Landau equations in higher dimensions
dc.typetext

Files

Collections

arXiv