Local well-posedness for the space-time Monopole equation in Lorenz gauge

Nikolaos Bournaveas, Timothy Candy

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

It is known from Czubak (Anal PDE 3(2): 151-174, 2010) that the space-time Monopole equation is locally well-posed in the Coulomb gauge for small initial data in H-s(R-2) for s > 1/4. Here we prove local well-posedness for arbitrary initial data in H s (R-2) with s > 1/4 in the Lorenz gauge.

Original languageEnglish
Pages (from-to)67-78
Number of pages12
JournalNonlinear Differential Equations and Applications
Volume19
Issue number1
DOIs
Publication statusPublished - Feb 2012

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