报告题目: Unique Continuation Property with Partial Information for Two-Dimensional Anisotropic Elasticity Systems
报告人：刘逸侃 博士
报告人单位：The University of Tokyo
报告时间：2019年4月24日,下午14：00-15:00
报告地点：四牌楼校区逸夫建筑馆1501
报告摘要:
In this talk, we introduce a novel unique continuation property for two-dimensional anisotropic elasticity systems with partial information. More precisely, given a homogeneous elasticity system in a domain, we investigate the unique continuation by assuming only the vanishing of one component of the solution in a subdomain. Using the corresponding Riemann function, we prove that the solution vanishes in the whole domain provided that the other component vanishes at one point up to its second derivatives. Further, we construct several examples showing the possibility of further reducing the additional information of the other component. This result possesses remarkable significance in both theoretical and practical aspects because the required data is almost halved for the unique determination of the whole solution.
报告人介绍：
Dr. Yikan Liu is a project research associate affiliated to Graduate School of Mathematical Sciences, The University of Tokyo. He was admitted to the degree of B.S. at Fudan University in July 2009. Supervised by Prof. Masahiro Yamamoto, he was admitted to the degree of M.S.(Mathematical Sciences) in March 2012 and that of Ph.D. (Mathematical Sciences) in March 2015 at The University of Tokyo. During April 2015 ~ October 2016 and November 2016 ~ June 2018, he served as a postdoctoral researcher and a JSPS foreign postdoctoral fellow at The University of Tokyo, respectively. His research fields of interest include theoretical and numerical aspects of forward and inverse problems for partial differential equations, esp. hyperbolic-type equations, time-fractional diffusion equations and elasticity systems.