Abstract
We consider the inverse problem of finding the unknown time-dependent leading coefficient and the free term in a parabolic equation. Boundary conditions and overdetermination conditions are local. We find conditions for the uniqueness and local existence.
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Bereznyts'ka, I.B. Determination of the Free Term and Leading Coefficient in a Parabolic Equation. Ukrainian Mathematical Journal 55, 148–156 (2003). https://doi.org/10.1023/A:1025032905031
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DOI: https://doi.org/10.1023/A:1025032905031