Patlak-Keller-Segel: Haskovec and Schmeiser (’11), Fournier and Jourdain(’15) (very sub-critical regime, no rate.) Similar setting: Liu & Yang (’16),Li, Liu & Yu (’19).
Liu in [13]. For nonlinear parabolic equations under the Ricci flow, localgradient estimates for positive solutions of equation. ... 13. Shiping Liu. Gradient estimate for solutions of the heat equation under Ricci flow.
Chen–Li 18). Therefore existence, uniqueness, regularity follows whenn = 1. If n = 2, then diameter estimate holds (Chen–Feng–Liu 22, arxiv).Diameter estimate for n 3 is open.
13:55–14:35 Jiakun Liu (University of Wollongong)Dirichlet problem for Monge-Ampére type equations. ... Dirichlet problem for Monge-Ampère type equationsJiakun Liu (University of Wollongong). In this talk, we first recall some classical results of
Australia’s long-standing strategic relationship with the United States is transforming in response to the geostrategic change in the Indo-Pacific and a fractious debate in the United States about its role in the world. At the same time,