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• W3190675385 abstract "In this article we study two inverse problems of recovering a space-time-dependent source component from the lateral boundary observation in a subdiffusion model. The mathematical model involves a Djrbashian--Caputo fractional derivative of order $alphain(0,1)$ in time, and a second-order elliptic operator with time-dependent coefficients. We establish a well-posedness and a conditional stability result for the inverse problems using a novel perturbation argument and refined regularity estimates of the associated direct problem. Further, we present a numerical algorithm for efficiently and accurately reconstructing the source component, and we provide several two-dimensional numerical results showing the feasibility of the recovery." @default.
• W3190675385 created "2021-08-16" @default.
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• W3190675385 date "2021-01-01" @default.
• W3190675385 modified "2023-10-16" @default.
• W3190675385 title "Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach" @default.
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• W3190675385 doi "https://doi.org/10.1137/21m1397295" @default.
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