题目: Scattering from infinity of the Maxwell-Klein-Gordon equations in Lorenz gauge

报告人:何丽丽 (Johns Hopkins University)

时间：3月15日上午 10：30

地点：腾讯会议 308173442

摘要：In this talk, we will discuss the global existence backwards from the scattering data for Maxwell-Klein-Gordon equations in Lorenz gauge satisfying the weak null condition. In particular, the scattering data is given in terms of the radiation field and there is a logarithmic term in the asymptotics due to the weak null condition. Our result corresponds to “existence of scattering states” in the scattering theory. Our analysis relies on a suitable construction of the approximate solution from the scattering data, a weighted conformal Morawetz energy estimate and a spacetime version of Hardy inequality.