中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：Lili He (Princeton University)
题 目：Scattering from infinity of the Maxwell-Klein-Gordon equations in Lorenz gauge
时 间：2024.06.27（星期四）15：00-16：00
地 点：S713
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.