INVERSE SOURCE PROBLEM WITH A FINAL OVERDETERMINATION FOR A FRACTIONAL DIFFUSION EQUATION

被引：90

作者：

Sakamoto, Kenichi ^{[1
]}

Yamamoto, Masahiro ^{[2
]}

机构：

[1] Nippon Steel Corp Ltd, Tech Dev Bur, Adv Technol Res Labs, Math Sci & Technol Res Lab, Futtsu, Chiba 2938511, Japan

[2] Univ Tokyo, Dept Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2011年 / 1卷 / 04期

关键词：

Inverse source problem; fractional diffusion equation; analytic perturbation; generic well-posedness;

D O I：

10.3934/mcrf.2011.1.509

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a time fractional diffusion equation with source term, we discuss an inverse problem of determining a spatially varying function of the source by final overdetermining data. We prove that this inverse problem is well-posed in the Hadamard sense except for a discrete set of values of diffusion constants.

引用

页码：509 / 518

页数：10

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