Global small solutions to the critical radial Dirac equation with potential

2011/03/01 by Cacciafesta, Federico
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1103.0186

Abstract

We solve globally a radial cubic Dirac equation perturbed with a small potential, with data of small critical norm H¹. The main tool are new endpoint estimates of the perturbed Dirac flow for a class of radial-type initial data.

Related

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