Abstract:
The Carderón—Zygmund estimate states that the Lp norm of solutions to elliptic equations can be controlled by in terms of the Lp 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.
Biography:
Shuhei Kitano is an assistant professor in the Department of Applied Physics at Waseda University, specializing in the regularity theory of fully nonlinear equations. He served as a JSPS Research Fellow from 2021 to 2023 and earned his Ph.D. from Waseda University in 2023.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.