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.

15 pages

References in corpus (1)

• The electronic properties of graphene