An inverse time-fractional diffusion problem with Robin boundary condition in two layers spherical domain
Tóm tắt
In this paper, I am interested in the study of the inverse Cauchy boundary value problem for the time-fractional diffusion equation in two layers spherical domain. Given the data in the first layer, my goal is to recover the temperature distribution and the heat flux in the second layer. First, I prove that the problem is severely ill-posed in the Hadamard sense. After, I propose a truncation-type regularization approach enabling us to achieve Hölder-type error in
$$L^2$$
-norm between the regularized and exact solutions.
Tài liệu tham khảo
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