On the Majorana condition for nonlinear Dirac systems

Abstract

For arbitrarily large initial data in an open set defined by an approximate Majorana condition, global existence and scattering results for solutions to the Dirac equation with Soler-type nonlinearity and the Dirac-Klein-Gordon system in critical spaces in spatial dimension three are established.

v1: 12 pages

References in corpus (6)

• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• The cubic Dirac equation: Small initial data in $H^{\frac{1}{2}}({\mathbb{R}}^2)$
• Transference of Bilinear Restriction Estimates to Quadratic Variation Norms and the Dirac-Klein-Gordon System
• On global well-posedness and scattering for the massive Dirac-Klein-Gordon system
• Global well-posedness for the massless cubic Dirac equation
• Conditional large data scattering results for the Dirac-Klein-Gordon system

Cited by in corpus (2)

• Conditional large data scattering results for the Dirac-Klein-Gordon system
• Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality