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?

2025-06-04 10:40:00
报告人 时间 14:00-15:00
地点 E4-233 2025
月日 06-13

Time14:00-15:00, Friday, June 13 2025

Venue:E4-233


SpeakerJoseph 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 Lp?

Abstract: In this talk, I will discuss the properties of the Dirichlet boundary value problems with data in Lp and W1,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.