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

Abstract

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

References in corpus (1)

• Dirac materials

Cited by in corpus (1)

• Small data scattering of 2d Hartree type Dirac equations