[Seminar] "Carderón-Zygmund estimates for fully nonlinear equations" by Dr. Shuhei Kitano
Date
2024年8月14日 (水) 10:00 〜 11:00
Location
L4E48
Description
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.
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