半空间上退缩抛物型方程组解的全局存在与爆破

Existence and Blowup for Degenerate Parabolic Systems on Semi-Space

在半空间上讨论了一类退缩抛物型方程组解的存在性与爆破性质.证明了当初值较大时解会在有限时刻发生爆破,而当初值适当小时,解具有全局存在性.

The existence and blow-up of a class degenerate parabolic systems in semi-space is considered.It is proved that in large initial conditions the solution blow-up in a finite time and in small initial conditions the solution exists global.