Abstract for the talk on 19.03.2019 (15:00 h)

Arbeitsgemeinschaft ANGEWANDTE ANALYSIS

Wenzhe Zhu
On the exterior domain problem for one phase free boundary

We considered the asymptotic behavior of one-phase free boundary graph in one exterior domain. We obtained that the solution is Lipschitz continuous, non-degenerate, and has one specific version of Weiss's monotonicity formula by adding extra terms. In planar case, we proved the asymptotic flatness of the solution in some sense, and we also discussed higher dimensional cases under additional conditions.