报告主题:具大麦克斯韦场的 massive Maxwell-Klein-Gordon方程的整体解
报告人: 杨诗武 助理教授 (北京大学数学研究中心)
报告时间:2019年6月20日(周四)9:30
报告地点:校本部G507
邀请人:刘见礼
报告摘要:In this talk, I will discuss the global asymptotic dynamics for solutions of massive Maxwell-Klein-Gordon equations with a class of unrestricted large data, which have arbitrary size of Maxwell field. The main difficulties are arising from the largeness of the Maxwell field and the different decay properties for linear Maxwell field and linear massive Klein-Gordon equation, which will cause a loss of decay for solutions of the coupled system at the causal infinity within a forward light cone. The first issue can be addressed by using the modified vector field method developed by Klainerman-Wang-Yang while the loss of decay is overcome by uncovering a hidden null structure.
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