第十九讲:Nonlinear Diffusion Equations driven by p-Laplacian operators of nonlocal type
报告题目(Title)：Nonlinear Diffusion Equations driven by p-Laplacian operators of nonlocal type
报告人(Speaker)：Juan Luis Vázquez 院士(Universidad Autónoma de Madrid)
地点(Place)：Zoom ID：836-7562-6006, Passcode: 221111
时间(Time)：2022年11月11日，16:00—17:00
报告摘要
We will first review some basic models of nonlinear diffusion. The usual p-Laplacian is a model of strongly nonlinear operator with a well-developed elliptic and parabolic theory. In recent years, interest has focused on versions of this model that include nonlocal effects of fractional type. We describe recent results obtained for the nonlocal parabolic theory for p finite. Finally, we discuss a nonlocal infinity Laplacian model motivated by a tug-of-war process introduced by Bjorland, Caffarelli and Figalli.
主讲人简介
Juan Luis Vázquez，西班牙皇家院士，欧洲科学院院士，国际数学大会一小时报告人，西班牙国家奖章和西班牙皇家数学会奖章获得者。在非线性椭圆型和抛物型偏微分方程领域做出杰出贡献，发表高水平学术论文三百余篇，出版专著三部。
