Nonlinear nonlocal potential theory at the gradient level
数学专题报告
报告题目(Title):Nonlinear nonlocal potential theory at the gradient level
报告人(Speaker):Simon Noah Nowak (Universitat Bielefeld, Germany)
地点(Place):ZOOMID: 996 9739 6030, PWD: 231607
时间(Time):2024 年 3月 14日 16:00—17:00
邀请人(Inviter):熊金钢
报告摘要
We present pointwise gradient potential estimates for a class of nonlinear nonlocal equations related to strongly convex nonlocal energy functionals. Our pointwise estimates imply that the first-order regularity properties of such general nonlinear nonlocal equations coincide with the sharp ones of the fractional Laplacian. The talk is based on joint work with Lars Diening, Kyeongbae Kim and Ho-Sik Lee.
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html