Low regularity solutions for Chern-Simons-Dirac systems in the temporal and Coulomb gauge

Low regularity solutions for Chern-Simons-Dirac systems in the temporal and Coulomb gauge

We prove low regularity local well-posedness results in Bourgain-Klainerman-Machedon spaces for the Chern-Simons-Dirac system in the temporal gauge and the Coulomb gauge. Under slightly stronger assumptions on the data we also obtain "unconditional" uniqueness in the natural solution space...

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Veröffentlicht in:Electronic journal of differential equations 2016-07, Vol.2016 (174), p.1-16
1. Verfasser: Hartmut Pecher
Format: Artikel
Sprache:eng
Schlagworte:
Chern-Simons-Dirac
Coulomb gauge
ocal well-posedness
temporal gauge
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Zusammenfassung:We prove low regularity local well-posedness results in Bourgain-Klainerman-Machedon spaces for the Chern-Simons-Dirac system in the temporal gauge and the Coulomb gauge. Under slightly stronger assumptions on the data we also obtain "unconditional" uniqueness in the natural solution spaces.
ISSN:1072-6691