%0 Journal Article
%T On the existence of a solution of a class of non-stationary free boundary problems
%A Bousselsal
%A Mahmoud
%A Lyaghfouri
%A Abdeslem
%A Zaouche
%A Elmehdi
%J -
%D 2018
%R 10.3336/gm.53.2.13
%X Sa£żetak We consider a class of parabolic free boundary problems with heterogeneous coefficients including, from a physical point of view, the evolutionary dam problem. We establish existence of a solution for this problem. We use a regularized problem for which we prove existence of a solution by applying the Tychonoff fixed point theorem. Then we pass to the limit to get a solution of our problem. We also give a regularity result of the solutions
%K Parabolic free boundary problems
%K evolution dam problem
%K existence
%K regularity
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=313474