Speaker
Panagiota Daskalopoulos
Abstract
Some of the most important problems in PDE are related to the understanding of singularities. This usually happens through a blow up procedure near the potential singularity which uses the scaling properties of the equation. In the case of a parabolic equation the blow up analysis often leads to special solutions which are defined for all time $- \infty < t \leq T$, for some $T \leq +\infty$. We refer to them as {\em ancient} solutions.