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Unique continuation property with partial information for two-dimensional anisotropic elasticity systems

发布时间:2019-05-30 作者: 浏览次数:
Speaker: 刘逸侃 DateTime: 2019年6月25日(周二)下午3:00-4:00
Brief Introduction to Speaker:

刘逸侃,东京大学教授。

Place: 六号楼二楼报告厅
Abstract: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.