What question did this study set out to answer?

The aim is to recover a coefficient in a diffusion equation, analyzing existence and uniqueness of solutions.

Coefficient identification problem with integral overdetermination condition for diffusion equations

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The aim is to recover a coefficient in a diffusion equation, analyzing existence and uniqueness of solutions.
Investigated a nonlinear inverse problem for diffusion equations with an integrative condition.
Established theorems on existence and uniqueness of local and global weak solutions.
Combined Fourier method with a priori estimates to derive solutions.
Demonstrated existence of unique strong solutions under sufficient smoothness conditions.
Established results not previously achievable under less stringent data conditions.
Reported enhanced understanding of the structure of solutions in nonlinear inverse problems.

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Randomized trial investigates the uniqueness and existence of solutions for an inverse problem, suggesting a robust methodology.

Ashurov et al. (2026) studied this question.

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