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

Abstract

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.

Keywords

• Chern-Simons-Dirac
• ocal well-posedness
• Coulomb gauge
• temporal gauge