Unique Continuation on Quadratic Curves for Harmonic Functions

作     者：Yufei KE Yu CHEN Yufei KE;Yu CHEN

作者机构：School of MathematicsShanghai University of Finance and EconomicsShanghai 200433China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2022年第43卷第1期

页      面：17-32页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This work was supported by the National Natural Science Foundation of China(No.11971121) 

主　　题：Unique continuation Quadratic curves Harmonic function 

摘      要：The unique continuation on quadratic curves for harmonic functions is dis-cussed in this *** using complex extension method,the conditional stability of unique continuation along quadratic curves for harmonic functions is *** nu-merical algorithm is provided based on collocation method and Tikhonov *** stability estimates on parabolic and hyperbolic curves for harmonic functions are demonstrated by numerical examples respectively.