Hartmut Pecher
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.
Submitted November 10, 2015. Published July 6, 2016.
Math Subject Classifications: 35Q40, 35L70.
Key Words: Chern-Simons-Dirac;local well-posedness; Coulomb gauge;
temporal gauge.
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Hartmut Pecher Fakultät füur Mathematik und Naturwissenschaften Bergische Universität Wuppertal Gaußstr. 20, 42119 Wuppertal, Germany email: pecher@math.uni-wuppertal.de |
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