Endpoint estimates and global existence for the nonlinear Dirac equation with potential

Abstract

We prove endpoint estimates with angular regularity for the wave and Dirac equations perturbed with a small potential. The estimates are applied to prove global existence for the cubic Dirac equation perturbed with a small potential, for small initial $H^1$ data with additional angular regularity. This implies in particular global existence in the critical energy space $H^1$ for small radial data.

References in corpus (2)

• Weighted Strichartz Estimates with Angular Regularity and their Applications
• Some Remarks on Strichartz Estimates for Homogeneous Wave Equation