03-15【何丽丽】腾讯会议 微分方程系列讲座

发布者:万宏艳发布时间:2021-03-14浏览次数:230

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.