On global well-posedness and scattering for the massive Dirac-Klein-Gordon system

Abstract

We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small initial data of subcritical regularity in dimension three. To achieve this, we impose a non-resonance condition on the masses.

24 pages

Cited by in corpus (4)

• Transference of Bilinear Restriction Estimates to Quadratic Variation Norms and the Dirac-Klein-Gordon System
• On the Majorana condition for nonlinear Dirac systems
• Conditional large data scattering results for the Dirac-Klein-Gordon system
• Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality