Analysis & Applications Seminar
The Regularity problem for a class of parabolic divergence form equations
Speaker: Jill Pipher (Brown University)Date: Thursday, 08 May 2025 - 15:30Place: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Abstract:
In recent joint work with M. Dindos and L. Li, we show that the Regularity problem for a class of second order divergence form parabolic operators is solvable when the data belongs to an appropriate \(L^p\) space. The parabolic operators have coefficients that vary in both space and time, and satisfy a certain minimal smoothness assumption defined by a Carleson measure condition - one that has been well-studied for the elliptic analog of these equations. The long term goal, of which this is a step, is to bring the parabolic theory to the level of understanding that has now been achieved for elliptic boundary value problems and beyond to free boundary problems.
