Uniqueness in inverse boundary value problems for fractional diffusion equations

被引：63

作者：

Li, Zhiyuan ^{[1
]}

Imanuvilov, Oleg Yu ^{[2
]}

Yamamoto, Masahiro ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

[2] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

来源：

INVERSE PROBLEMS | 2016年 / 32卷 / 01期

关键词：

fractional diffusion equation; inverse problem; Dirichlet-to-Neumann map; determination of fractional orders; multi-time-fractional derivatives; VARIABLE-ORDER;

D O I：

10.1088/0266-5611/32/1/015004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an inverse boundary value problem for diffusion equations with multiple fractional time derivatives. We prove the uniqueness in determining the number of fractional time-derivative terms, the orders of the derivatives and spatially varying coefficients.

引用

页数：16

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