Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions
Abstract
The aim of this paper is to show the local well-posedness of 2 dimensional Dirac equations with power type and Hartree type nonlinearity derived from honeycomb structure in Hs for s>78 and s>38, respectively. We also provide the smoothness failure of flows of Dirac equations.
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