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The blow up of solutions to semilinear wave equations on asymptotically Euclidean manifolds
时间  Datetime
2019-10-10 16:00 — 17:00 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Chengbo Wang
单位  Affiliation
Zhejiang University
邀请人  Host
Fang Wang
报告摘要  Abstract

In this talk, we investigate the problem of blow up and sharp upper bound  estimates of the lifespan for the solutions to the semilinear wave equations with small initial data, posed on asymptotically Euclidean manifolds. Here the metric is assumed to be exponential perturbation of the spherical symmetric, long range asymptotically Euclidean metric. In addition, our argument works equally well for semilinear damped wave equations, when the coefficient of the dissipation term is space-independent and integrable (without sign condition). It is a joint work with Mengyun Liu.