半无界空间上退缩抛物型方程解的存在性与爆破  

Existence and Blow-up for Degenerate Parabolic Equation on Semi-infinite Space

作　　者：孙仁斌[1] 

机构地区：[1]中南民族大学计算机科学学院,武汉430074

出　　处：《大学数学》2004年第2期68-70,共3页College Mathematics

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.

关 键 词：半无界空间 退缩抛物型方程 整体存在性 爆破 

分 类 号：O175.26[理学—数学]