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

preprint2020arXivOpen access

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 $s >0.$ .

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

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

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