Unique Continuation Property with Partial Information for Two-Dimensional Anisotropic Elasticity Systems

作     者：Jin CHENG Yi-kan LIU Yan-bo WANG Masahiro YAMAMOTO Jin CHENG;Yi-kan LIU;Yan-bo WANG;Masahiro YAMAMOTO

作者机构：School of Mathematical SciencesFudan UniversityShanghai 200433China School of MathematicsShanghai University of Finance and EconomicsShanghai 200433China Research Institute for Electronic ScienceHokkaido UniversitySapporo 060-0812Japan Graduate School of Mathematical SciencesThe University of TokyoTokyo 153-8914Japan Academy of Romanian Scientists54 Splaiul Independentei StreetBucharest 050094Romania Peoples’Friendship University of Russia(RUDN UniversityMoscow 117198Russia 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2020年第36卷第1期

页      面：3-17页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the A3 Foresight Program“Modeling and Computation of Applied Inverse Problems” Japan Society for the Promotion of Science(JSPS) National Natural Science Foundation of China(NSFC) supported by NSFC(No.11971121) partially supported by JSPS KAKENHI Grant Number JP15H05740 supported by NSFC(No.11771270) partly supported by NSFC(No.91730303) RUDN University Program5-100 

主　　题：anisotropic elasticity system unique continuation,Riemann function 

摘      要：In this paper,we establish a novel unique continuation property for two-dimensional anisotropic elasticity systems with partial *** precisely,given a homogeneous elasticity system in a connected open bounded domain,we investigate the unique continuation by assuming only the vanishing of one component of the solution in a *** 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 ***,we construct several examples showing the possibility of further reducing the additional information of the other *** result possesses remarkable significance in both theoretical and practical aspects because the required data are almost halved for the unique determination of the whole solution.