Problem with nonlocal condition on the free boundary
We investigate the one-phase Florin problem for a parabolic equation with nonlocal condition. Theorems one the existence and uniqueness of a solution are proved, and a priori estimates for the solution are obtained.
English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 1, pp 78-88.
Citation Example: Takhirov Zh. O., Turaev R. N. Problem with nonlocal condition on the free boundary // Ukr. Mat. Zh. - 2012. - 64, № 1. - pp. 71-80.