期刊
MATHEMATICAL MODELLING AND ANALYSIS
卷 24, 期 2, 页码 236-262出版社
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/mma.2019.016
关键词
inverse problem; subdiffusion; final overdetermination; fractional diffusion
类别
资金
- Estonian Research Council [PUT568]
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.
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