半线性抛物型方程组解的整体存在性与爆破速率估计

The existence of global solution and blow up rate estimates 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.利用上下解方法得到了解整体存在的条件与爆破条件,并利用Friedmann-Mcleod方法建立了爆破速率估计.

The blow up properties of solutions for semi-linear parabolic systems with nonlinear sources, subject to null Neumann boundary conditions are studied. The existence of global solution and blow up of the solution are obtained by using upper and lower solution method,and the uniform blow-up rate estimate is established by using Friedman-Mcleod method.