Local Stability for an Inverse Coefficient Problem of a Fractional Diffusion Equation

被引：0

作者：

Caixuan REN ^{[1
]}

Xiang XU ^{[2
]}

机构：

[1] School of Mathematical Sciences, Fudan University

[2] Department of Mathematics, Zhejiang University, Hangzhou

来源：

Chinese Annals of Mathematics(Series B) | 2014年 / 35卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Carleman estimate; Conditional stability; Inverse coefficient problem; Fractional diffusion equation;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

Time-fractional diffusion equations are of great interest and importance on describing the power law decay for diffusion in porous media. In this paper, to identify the diffusion rate, i.e., the heterogeneity of medium, the authors consider an inverse coefficient problem utilizing finite measurements and obtain a local Hlder type conditional stability based upon two Carleman estimates for the corresponding differential equations of integer orders.

引用

页码：429 / 446

页数：18

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