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

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

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 for . Here we prove local well-posedness for arbitrary initial data in with in the Lorenz gauge.

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Veröffentlicht in:Nonlinear differential equations and applications 2012-02, Vol.19 (1), p.67-78
Hauptverfasser: Bournaveas, Nikolaos, Candy, Timothy
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung: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 for . Here we prove local well-posedness for arbitrary initial data in with in the Lorenz gauge.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-011-0118-1