A product-estimate for Ginzburg-Landau and corollaries

Etienne Sandier, Sylvia Serfaty

Research output: Contribution to journalArticlepeer-review

Abstract

We prove a new inequality for the Jacobian (or vorticity) associated to the Ginzburg-Landau energy in any dimension. It allows to retrieve existing lower bounds on the energy, to extend them to the case of unbounded vorticity, and to get a few other corollaries. It also provides a new estimate on the time-variation for time-dependent families, which has applications for the study of Ginzburg-Landau dynamics.

Original languageEnglish (US)
Pages (from-to)219-244
Number of pages26
JournalJournal of Functional Analysis
Volume211
Issue number1
DOIs
StatePublished - Jun 1 2004

ASJC Scopus subject areas

  • Analysis

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