Regularity of weak solutions to higher order geometric system

发布时间：2021-05-12 作者：浏览次数：

Speaker:	郭常予	DateTime:	2021年05月27日（周四）下午14:30-15:30
Brief Introduction to Speaker: 郭常予，山东大学数学与交叉科学研究中心教授，博士生导师，山东省高层次青年人才。主要研究方向为单复变函数论-几何函数论，以及其与奇异度量测度空间上的分析与几何的关联。特别的，研究各类几何映照（如拟共形映照，拟正则映照，调和映照等）的解析与拓扑性质。已在相关领域期刊发表20余篇论文。		Place:	六号楼2楼报告厅
Abstract:We record the recent progress on the regularity problem for a class of linear higher order geometric PDEs that models in particular polyharmonic maps. Our main focus will be the fourth order Lamm-Riviere-Struwe system. We shall present the optimal Holder regularity in both critical and supercritical dimensions. In particular, this provides a partial answer to a question of Struwe [Cal. Var. PDEs 2008]. The talk is based on a few joint works with Chang-Lin Xiang and Gao-Feng Zheng.