Speaker: Chengbo Wang from Zhejiang University
Tencent Conference ID：758 952 008
Title: Life span estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains
Abstract: 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.