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Monday, March 17, 2025 - 16:00 in V2-205


Pointwise gradient estimates for nonlocal equations

A talk in the Nonlocal Equations: Analysis and Numerics series by
Kyeongbae Kim from Seoul

Abstract: We discuss potential estimates of non-homogeneous nonlinear nonlocal equations.
We first recall previously known results about pointwise gradient estimates for solutions to the nonlinear generalization of Poisson’s equation. Then, we present that the gradient bounds of solutions to nonlinear non- local equations can be pointwise estimated by the Riesz potential of the right-hand side.
The talk is based on a joint work with Lars Diening, Ho-Sik Lee, and Simon Nowak.

Within the CRC this talk is associated to the project(s): A7



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