报告题目：Propagation of singularities & minimizing movement
报 告 人：程伟 教授
所在单位：南京大学
报告时间：2023年8月30日 10:00-11:00
报告地点：正新楼306
校内联系方式：fanyiou0@163.com
报告摘要：There are various notions of singular characteristics in the theory of propagation singularities of viscosity solutions. In this talk, we will discuss the variational construction of generalized characteristics and strict singular characteristics. We proved the solution of generalized characteristics can be constructed in an intrinsic way using the idea of minimizing movements and certain process of homogenization. Moreover, the relation between the strict singular characteristics and the EDI-EVI frame of gradient flow was also discussed. In general, these results bridge various different topics. This talk is based on our latest work with Piermarco Cannarsa, Jiahui Hong and Kaizhi Wang.
报告人简介：南京大学数学系教授，博导。目前主要研究领域为Hamilton动力系统，Aubry-Mather理论，Hamilton-Jacobi方程的粘性解理论，变分法与最优控制，平均场博弈论等。另外对几何测度论、sub-Riemannian几何、非光滑分析具有浓厚兴趣。在Comm. Math. Phys.，Calc. Var. Partial Differential Equations，Comm. Partial Differential Equations，SIAM J. Math. Anal.，J. Differential Equations，Dynamic Games and Applications等国际著名学术期刊发表20余篇论文。曾多次访问巴黎6大，巴黎7大，罗马2大，早稻田大学、国立新加坡大学，多次受邀在美国、法国、意大利、西班牙、日本、新加坡、台湾等地举办的国际学术会议上做学术报告。先后主持多项国家自然科学基金，作为骨干成员参加国家973项目，基金委重点项目。
