18/07/2019, 15:30 — 16:00 — Room P3.31, Mathematics Building
Elmehdi Zaouche, El-Oued University, Algeria
On the existence of a solution of a class of non-stationary free boundary problems
We consider a class of parabolic free boundary problems with heterogeneous coefficients. 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.