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تسجيل مستخدم جديدInverse moving source problem for fractional diffusion(-wave) equations: Determination of orbits
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This paper is concerned with the inverse problem on determining an orbit of the moving source in a fractional diffusion(-wave) equations in a connected bounded domain of $mathbb R^d$ or in the whole space $mathbb R^d$. Based on a newly established fractional Duhamels principle, we derive a Lipschitz stability estimate in the case of a localized moving source by the observation data at $d$ interior points. The uniqueness for the general non-localized moving source is verified with additional data of more interior observations.
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