摘要
讨论半无界空间上退缩抛物型方程解的存在性与爆破性质.证明了在小初值时解是全局存在的,在大初值时局部解在有限时刻发生爆破.
The existence and blow-up of a class degenerate parabolic equation on semi-infinite space is considered. It is proved that in small initial conditions the solution exists globally and in large initial condition the solution blow up in a finite time.
出处
《大学数学》
2004年第2期68-70,共3页
College Mathematics
关键词
半无界空间
退缩抛物型方程
整体存在性
爆破
semi-infinite space
degenerate parabolic equation
global existence
blow up
