On Sobolev maps between manifolds and branched transportation
报告人:Fabrice Bethuel(Sorbonne Université)
时间:2023-10-24 10:30-11:30
地点:智华楼四元厅
Abstract : In the talk, I wish to stress the link between branched transportation theory, and some issues in the study of Sobolev maps between manifold. In particular, I will present a counterexample to the sequential weak density of smooth maps between two manifolds $M$ and $N$ in the Sobolev space $W^{1, p} (M, N)$, in the case $p$ is an integer. It has been shown quite a while ago that, if $p
报告人: Fabrice Bethuel为法国索邦大学LJLL实验室教授,主要从事领域为偏微分方程与变分理论。1989年在巴黎十一大获得博士学位,博士导师为Jean-Michel Coron。
他在调和映照、Ginzburg-Landau方程等方向作出了基础性的贡献。所获荣誉包括费马奖、Henri-Poincaré奖、法兰西学院Cours Peccot奖等,并于1998年受邀做ICM 45分钟报告。