We establish the conditions of unique solvability of the inverse problem of finding the minor coefficient in a two-dimensional
parabolic equation in the domain for which the location of a part of its boundary is described by a function in the form of a product of an unknown function of time and a given function of the space variable.
Citation Example:Snitko H. A. Inverse coefficient problem fоr a two-dimensional parabolic equation in a domain
with free boundary // Ukr. Mat. Zh. - 2016. - 68, № 7. - pp. 972-982.