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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?

Joseph Feneuil2025-07-22

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

Venue: E4-233

Host: Thierry De Pauw, ITS


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 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.



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