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Inverse source problem with a final overdetermination for a fractional diffusion equation

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  • For a time fractional diffusion equation with source term, we discuss an inverse problem of determining a spatially varying function of the source by final overdetermining data. We prove that this inverse problem is well-posed in the Hadamard sense except for a discrete set of values of diffusion constants.
    Mathematics Subject Classification: Primary: 35R30; Secondary: 35R25, 47A55.

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