半线性抛物型方程组解的整体存在性与爆破

The existence of global solution and blow up of solution for semi-linear parabolic systems

研究了具有非线性热源的半线性抛物型方程组的齐次Neumann问题解的爆破性质.利用上下解方法———通过构造与时间无关的上下解,得到了解整体存在的条件与爆破条件.

The blow up properties of solutions for semi-linear parabolic systems with nonlinear sources, subject to null Neumann boundary conditions are studied. Using the method of supersolution, subsolution and construting the supersolution and subsolution be independent of time,the conditions of existence of global solution and blow up of the solution are obtained.