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• W2724737791 abstract "This article deals with an inverse problem of determining a linear source term in the multidimensional diffusion equation using the variational adjoint method. A variational identity connecting the known data with the unknown is established based on an adjoint problem, and a conditional uniqueness for the inverse source problem is proved by the approximate controllability to the adjoint problem under the condition that the unknowns can keep orders locally. Furthermore, a bilinear form is set forth also based on the variational identity and then a norm for the unknowns is well-defined by which a conditional Lipschitz stability is established." @default.
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• W2724737791 date "2017-01-01" @default.
• W2724737791 modified "2023-10-18" @default.
• W2724737791 title "Conditional Well-Posedness for an Inverse Source Problem in the Diffusion Equation Using the Variational Adjoint Method" @default.
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• W2724737791 doi "https://doi.org/10.1155/2017/6801260" @default.
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