Determination of the Free Term and Leading Coefficient in a Parabolic Equation
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.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 1, pp 148-156.
Citation Example: Bereznyts'ka I. B. Determination of the Free Term and Leading Coefficient in a Parabolic Equation // Ukr. Mat. Zh. - 2003. - 55, № 1. - pp. 119-125.