Inverse problem for a parabolic equation with strong power degeneration
We consider the inverse problem of determining the time-dependent coefficient of the leading derivative in a full parabolic equation under the assumption that this coefficient is equal to zero at the initial moment of time. We establish conditions for the existence and uniqueness of a classical solution of the problem under consideration.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 11, pp 1685-1703.
Citation Example: Ivanchov N. I., Saldina N. V. Inverse problem for a parabolic equation with strong power degeneration // Ukr. Mat. Zh. - 2006. - 58, № 11. - pp. 1487–1500.