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

作　　者：容跃堂[1] 贾悦利[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《纯粹数学与应用数学》2007年第4期433-438,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金资助项目(10371098);西安工程大学校管基金项目(2007XG28)

摘　　要：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.

关 键 词：半线性抛物型方程组 整体解 爆破 爆破速率估计 

分 类 号：O175.29[理学—数学]