Inverse problem for the heat equation with degeneration
We consider the inverse problem of determining the time-dependent thermal diffusivity that 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 57 (2005), no. 11, pp 1825-1835.
Citation Example: Ivanchov N. I., Saldina N. V. Inverse problem for the heat equation with degeneration // Ukr. Mat. Zh. - 2005. - 57, № 11. - pp. 1563–1570.