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Local and global well - posedness of the solution to the two spacedimensional Dirac equation with Hartree type nonlinearity is established withthe initial datum in the space $H^s(\mathbb{R}^2, \mathbb{C}^2)$ with $s >0.$.

Global $H^s, s>0$ Large Data Solutions of 2D Dirac Equation with Hartree Type Interaction