Westlake Math Colloquium | Joseph Feneuil: What are the optimal conditions on the domains and the operator to ensure the solvability of boundary values problems for elliptic operators with data in L^p?

时间：2025年6月13日（周五）14:00-15:00

地点：E4-233

主讲人：Joseph Feneuil, Université Paris Saclay

主讲人简介：Dr. Feneuil earned his Ph.D. from the University of Grenoble, France, in 2015. Following postdoctoral positions at the University of Minnesota, Temple University, and the Australian National University, he joined Paris-Saclay University as an Assistant Professor in 2023. His research focuses on the intersection of harmonic analysis, partial differential equations, and geometric measure theory.

讲座主题：What are the optimal conditions on the domains and the operator to ensure the solvability of boundary values problems for elliptic operators with data in L^p?

讲座摘要: In this talk, I will discuss the properties of the Dirichlet boundary value problems with data in L^p and W^1,p and present the current results on their solvability. I will then address the challenges of extending these results to the Neumann problem and share our progress in this area.