Tatiana Toro, University of Washington

Conférencier/Speaker : Tatiana Toro, University of Washington

Titre/Title : PDEs on non-smooth domains

Resume/Abstract :
In these lecture we will discuss the relationship between the boundary regularity of the solutions to elliptic second order divergence form partial differential equations and the geometry of the boundary of the domain where they are defined. While in the smooth setting tools from classical PDEs are used to address this question, in the non-smooth setting techniques from harmonic analysis and geometric measure theory are needed to tackle the problem. The goal is to present an overview of the recent developments in this very active area of research.