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The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations
Authors: Nguyen Van Duc, Nguyen Van Thang, Nguyen Trung Thanh
87    5
Journal of Differential Equations
: 344     : 102-130
: https://www.sciencedirect.com/science/article/abs/pii/S0022039622006106
: 1534_2023_Duc_Thang_Thanh_JDE.pdf
Publishing year: 1/2023
`In this paper, we apply the quasi-reversibility method to solve an inverse source problem for a time-space fractional parabolic equation. Hölder-type error estimates for the regularized solutions are proved for both a priori and a posteriori regularization parameter choice rules. The theoretical error estimates are confirmed with numerical tests for one and two dimensional equations.
Inverse source problems for time-space fractional parabolic equations, quasireversibility method, error estimates, numerical implementation
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