Asymptotic Behavior of the Spinor Field and the Application to Nonlinear Dirac Models
Time: 2019-07-24
Published By: He Liu
Speaker(s): Jiongyue Li (Tsinghua University)
Time: 16:00-17:00 August 5, 2019
Venue: Room 78201, Jingchunyuan 78, BICMR
In this talk, we will study the asymptotic behavior of the linear solution of the massless Dirac equation in Minkowski spacetime via the commuting vector field method. It is proved that the solutions decay in a sharp rate and enjoy the so-called peeling properties. Based on this decay mechanism, we also prove the small data global existence result for a class of nonlinear Dirac models.
