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?

Time：14:00-15:00, Friday, June 13 2025

Venue：E4-233

Speaker：Joseph Feneuil, Université Paris Saclay

Biography：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.

Title：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?

Abstract: 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.