一类含奇异项的退缩抛物型方程组解的存在性与猝灭

On Existence and Quench for Singular and Degenerate Parabolic Systems

考虑了一类含奇异项的退缩抛物型方程组柯西问题解的存在性与初始条件的关系,证明了当初值较大时解会在有限时刻产生猝灭的现象,在初值较小时解是全局存在的.

T he relation about the existences of solutions and initial conditions for Cauchy problem of a sin-gular and degenerate parabolic systems has been studied in this paper .It is proved that in large initial con-dition the solutions quench in a finite time and in small initial condition the solutions exist globally .