学术报告:2020年07月03日14:00-15:00,浙江大学-王成波

发布者:吕小俊发布时间:2020-06-23浏览次数:156

东南大学数学学院邀请专家申请表

  

报告人

王成波

单位

浙江大学

报告题目

Life span   estimates for 2-dimensional semilinear wave equations in asymptotically   Euclidean exterior domains

报告时间

202073日下午14:00-15:00

地点

腾讯会议在线平台

ID758 952   008

邀请人

李逸

报告摘要

In this talk, we will consider the initial   boundary value problem for two-dimensional semilinear wave equations with   small data, in asymptotically Euclidean exterior domains.

We shall prove that for subcritical and   critical powers p2, the problem admits the same upper bound of the lifespan   as that of the corresponding Cauchy problem. It is interesting to see that   the logarithmic increase of the harmonic function in   2-D has no influence to the estimate of the upper bound of the lifespan. One   of the novelties is that we can deal with the problem with flat metric and   general obstacles (bounded and simple connected), and it will be reduced to   the corresponding problem with compact perturbation of the flat metric   outside a ball. This is a joint work with Ning-An Lai, Mengyun Liu and   Kyouhei Wakasa.

报告人简介

  

王成波,浙江大学数学科学学院教授,博士生导师。国家万人计划青年拔尖人才支持计划获得者,以第二完成人获得2014年教育部自然科学奖二等奖。研究方向是调和分析和偏微分方程,特别是非线性波动方程和色散型方程的理论研究。在《CMP, CPDE》, 《JDE》,《JFA,JMPA,Math. Ann,Trans. AMS》等著名数学期刊上发表二十余篇论文。学术成果得到包括菲尔兹奖获得者Terence Tao(陶哲轩),国际数学家大会报告人Hart F. Smith, Christopher D. Sogge, Daniel Tataru等在内的多位数学家的引用。