[Seminar] "Carderón-Zygmund estimates for fully nonlinear equations" by Dr. Shuhei Kitano

Geometric PDE and Applied Analysis Seminar (August 14, 2024)

Title: Carderón-Zygmund estimates for fully nonlinear equations

Speaker: Dr. Shuhei Kitano (Waseda University)

Abstract: The Carderón—Zygmund estimate states that the $L^p$ norm of solutions to elliptic equations can be controlled by in terms of the $L^p$ norm for the source terms. For linear equations, it is well-known that this estimate holds for any exponents $p>1$ but not $p=1$. In contrast, our main result shows the estimate holds with $p=1$ for a certain class of fully nonlinear equations.