Inverse Problem with Free Boundary for Heat Equation
We establish conditions for the existence and uniqueness of a solution of the inverse problem for a one-dimensional heat equation with unknown time-dependent leading coefficient in the case where a part of the boundary of the domain is unknown.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 7, pp 1086-1098.
Citation Example: Ivanchov N. I. Inverse Problem with Free Boundary for Heat Equation // Ukr. Mat. Zh. - 2003. - 55, № 7. - pp. 901-910.