This paper aims to investigate initial-boundary value problem of the nonlinear Tricomi equation on exterior domain in n space dimensions.By introducing appropriate functional and using the Kato lemma,it is deduced that the solution blows up in finite time.In addition,upper bound lifespan estimates of solution are given.
关键词
Tricomi方程/外区域/初边值问题/破裂/生命跨度估计
Key words
Tricomi equation/exterior domain/initial-boundary value problem/blow-up/lifespan estimate