中科院国家数学与交叉科学中心
数学与物理交叉部
学术报告会
题 目: Decay properties of solutions of Maxwell Klein-Gordon equations
报告人: Dr. Shiwu Yang (Cambridge University)
时 间：07.28 (星期二), 10:00--11:00
地 点：数学院南楼N820室
摘 要:
In this talk, I will present a recent progress on the asymptotic behaviour of global solutions of Maxwell Klein-Gordon equations. We show that the integrated local energy and the energy flux through the outgoing null hypersurfaces decays polynomially in the retarded time in Minkowski space withdata merely bounded in some gauge invariant weighted Sobolev space. This in particular includes the case with large charge. One novelty of this work is that these decay estimates precisely capture the asymptotic properties for the non-linear fields with arbitrarily large data. If in addition that the initial data for the scalar field is sufficiently small, then we show the pointwise decay of the solutions. This result improves the previous result of Lindblad-Sterbenz in which smallness is required for both the scalar fieldand the Maxwell field.
