报告题目：

The qualitative behavior at the free boundary for approximate harmonic maps from surfaces

报 告 人：

刘磊博士后（德国莱比锡数学所）

报告时间：

2018年03月28日 16:30--17:30

报告地点：

理学院东北楼四楼报告厅（404）

报告摘要：

Let ${u_n}$ be a sequence of maps from a compact Riemann surface $M$ with smooth boundary to a general compact Riemannian manifold $N$ with free boundary on a smooth submanifold $Ksubset N$ satisfying [sup_n(|nabla u_n|_{L^2(M)}+|tau(u_n)|_{L^2(M)})leq Lambda,]where $tau(u_n)$ is the tension field of the map $u_n$. We show that the energy identity and the no neck property hold during a blow-up process. The assumptions are such that this result also applies to the harmonic map heat flow with free boundary, to prove the energy identity at finite singular time as well as at infinity time. Also, the no neck property holds at infinity time.