‘Generic’ ill-posedness of semilinear wave equations on 3D manifold

浙江大学数学科学学院九十周年院庆系列活动之八十一 

Title: `Generic' ill-posedness of semilinear wave equations on 3D manifold.

报告主题：超临界半线性波方程的不适定性Speaker: Bo Xia (夏波), SYSU ZhuhaiTime: 11:00AM-12:00PM, 2018-10-15Location:  105, Sir RRShaw Building, Yuquan Campus, Zhejiang UniversityAbstract: In this talk, we'll first present several finite time blow-up results for semilinear wave equations in the classical sense. Then we present ill-posedness of energy-supercritical wave equation in the energy space. At last, we are going to consider the ill-posedness problems in the space weaker than the energy space, and then try to establish the density of the set of these `bad' initial datum.主要内容：我们首先回顾一下一些关于不适定性的经典结果，之后我们用ode的办法来证明超临界波方程的norm inflation性质，然后我们再来证明使得方程不适定的初始值集合的稠密性。All are welcome!Contact Person: Chengbo Wang, wangcbo@zju.edu.cn