Blow-up of solution to initial-boundary value problem for the Tricomi equation on exterior domain
REN Cui1， MING Sen1， MA Yaxian1， YANG Jie2
(1.Department of Mathematics， North University of China， Taiyuan， 030051， China；2.Department of Computer Science and Technology， North University of China， Taiyuan 030051， China)
Abstract：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.
任 翠,明 森,麻雅娴,杨 婕. 外区域上Tricomi方程初边值问题解的破裂[J]. 华中师范大学学报(自然科学版), 2024, 58(2): 165-171.
REN Cui,MING Sen,MA Yaxian,YANG Jie. Blow-up of solution to initial-boundary value problem for the Tricomi equation on exterior domain. journal1, 2024, 58(2): 165-171.
2024, Vol. 58 
