Venue: MCM110
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 necessary and sufficient conditions ensuring the solvability of the Dirichlet boundary value problems (for uniformly elliptic operators) with data in $L^p$ and $W^{1,p}$. I will then address the challenges of extending these results to the Neumann problem and share our progress in this area. This is a joint work with Linhan Li.
