Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality

Abstract

We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from pseudoscalar field. We establish scattering for large data but with a relatively small part of initial data associated with charge conjugation by exploiting null structure induced by chirality.

References in corpus (2)

• Conditional large-data global well-posedness of Dirac equation with Hartree-type nonlinearity
• Scattering of cubic Dirac equations with a general class of Hartree-type nonlinearity for the critical Sobolev data