Special Session 5: Recent developments in Partial Differential Equations from Physics

Well-posedness for local and nonlocal quasilinear evolution equations in fluids and geometry

Ke Chen
The Hong Kong Polytechnic University
Hong Kong
Co-Author(s):    Ruilin Hu, Quoc-Hung Nguyen
Abstract:
In this talk, I will present some recent results on local and global well-posedness results of some nonlocal and nonlinear evolution equations. These results are based on a Schauder type estimate for general nonlocal parabolic equations.