Research-Global well-posedness and scattering for the massive Dirac-Klein-Gordon system in two space dimensions

Research

PDE Seminar

Global well-posedness and scattering for the massive Dirac-Klein-Gordon system in two space dimensions

Speaker: Ioan Bejenaru（University of California San Diego）
Time: May 29, 2025, 12:00-13:30
Location: Zoom：845 2002 3408，Passcode: 225478

Abstract

We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small and low regularity initial data in dimension two, under non-resonance condition. We introduce new resolutions spaces which act as an effective replacement of the normal form transformation.