Inverse problem to identify a space-dependent diffusivity coefficient in a generalized subdiffusion equation from final data

被引：5

作者：

Janno, Jaan ^{[1
]}

Kasemets, Kairi ^{[1
]}

Kinash, Nataliia ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2022年 / 71卷 / 01期

关键词：

inverse problem; final overdetermination; generalized fractional evolution equation; TIME-FRACTIONAL DIFFUSION; RANDOM-WALKS; UNIQUENESS;

D O I：

10.3176/proc.2022.1.01

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An inverse problem to determine a space-dependent diffusivity coefficient in a one-dimensional generalized time fractional diffusion equation from final data is considered. The global uniqueness and local existence and stability of the solution to this problem is proved. Proof of these statements is based on the fixed-point principle and previously obtained results regarding an inverse source problem for a generalized subdiffusion equation.

引用

页码：3 / 15

页数：13

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