The cubic nonlinear Dirac equation

2013/01/29 by Cacciafesta, Federico
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1301.6867

Abstract

We present some results obtained in collaboration with prof. Piero D'Ancona concerning global existence for the 3D cubic non linear massless Dirac equation with a potential for small initial data in H¹ with slight additional assumptions. The new crucial tool is given by the proof of some refined endpoint Strichartz estimates.

Related

• Endpoint estimates and global existence for the nonlinear Dirac equation with potential
• Global solutions of 2-D cubic Dirac equation with non-compactly supported data
• Global well-posedness for the massless cubic Dirac equation
• On the cubic Dirac equation with potential and the Lochak--Majorana condition
• Global solution to a cubic nonlinear Dirac equation in 1+1 dimensions