Inverse Problems for a Generalized Subdiffusion Equation with Final Overdetermination

被引：46

作者：

Kinash, Nataliia ^{[1
]}

Janno, Jaan ^{[1
]}

机构：

[1] Tallinn Univ Technol, Dept Cybernet, Ehitajate Tee 5, EE-19086 Tallinn, Estonia

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2019年 / 24卷 / 02期

关键词：

inverse problem; subdiffusion; final overdetermination; fractional diffusion; TIME-FRACTIONAL DIFFUSION; INTEGRODIFFERENTIAL EQUATIONS; PRINCIPLE;

D O I：

10.3846/mma.2019.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two inverse problems for a generalized subdiffusion equation that use the final overdetermination condition. Firstly, we study a problem of reconstruction of a specific space-dependent component in a source term. We prove existence, uniqueness and stability of the solution to this problem. Based on these results, we consider an inverse problem of identification of a space-dependent coefficient of a linear reaction term. We prove the uniqueness and local existence and stability of the solution to this problem.

引用

页码：236 / 262

页数：27

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