Ancient Solutions to Geometric Flows

Ancient solutions to geometric flows - Panagiota Daskalopoulos

Panagiota Daskalopoulos
Columbia University
May 21, 2019

Abstract: Some of the most important problems in geometric evolution partial differential equations are related to the understanding of singularities. This usually happens through a blow up procedure near the 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 −∞