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 $H^s$ for $s>\frac{7}{8}$ and $s>\frac{3}{8}$, respectively. We also provide the smoothness failure of flows of Dirac equations.

arXiv comment15 pages

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