Title:On extinction behaviors of the fast diffusion equations
Speaker:Jingang Xiong (北京师范大学)
Time:2018年9月28日(周五) 下午 16:00-17:30
Room:东区管理科研楼 数学科学学院1418室
Abstract:It had been known in 1980s that solutions of the fast diffusions $/partial_t u=/Delta u^m$ in $R^n/times R$ will be extinct in the finite time, when the initial data belong to some suitable good spaces and $0 <m</frac{n-2}{n}$. In this talk, I will report my recent results with Tianling Jin on certain extinct behaviors which capture singular solutions of the corresponding elliptic equations. In particular, the Fowler solutions of the Yamabe equation can be captured.