Reconstruction of the Space-dependent Source from Partial Neumann Data for Slow Diffusion System

作     者：Chun-long SUN Ji-jun LIU Chun-long SUN;Ji-jun LIU

作者机构：School of MathematicsS.T.Yau Center of Southeast UniversitySoutheast UniversityNanjing 210096China 

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：166-182页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by NSFC(Nos.11971104,11871149) supported by Postgraduate Research&Practice Innovation Program of Jiangsu Province(No.KYCX180051) 

主　　题：time-fractional diffusion inverse source problem variational method Lipschitz stability 

摘      要：Consider a linear inverse problem of determining the space-dependent source term in a diffusion equation with time fractional order derivative from the flux measurement specified in partial *** on the analysis on the forward problem and the adjoint problem with inhomogeneous boundary condition,a variational identity connecting the inversion input data with the unknown source function is *** uniqueness and the conditional stability for the inverse problem are proven by weak unique continuation and the variational identity in some *** inversion scheme minimizing the regularizing cost functional is implemented by using conjugate gradient method,with numerical examples showing the validity of the proposed reconstruction scheme.