拟线性抛物型方程组爆破解的速率估计  

Blow-up rate estimates for semilinear parabolic systems

作　　者：张为元[1] 李俊林[2] 

机构地区：[1]咸阳师范学院数学系,陕西咸阳712000 [2]太原科技大学应用数学研究所,山西太原030024

出　　处：《纺织高校基础科学学报》2008年第3期310-312,316,共4页Basic Sciences Journal of Textile Universities

基　　金：山西省高校科技开发项目(200455;200513);咸阳师范学院科研项目(07XSYK284)

摘　　要：考虑带有齐次Dirichlet边界条件的拟线性抛物型方程组正解的爆破条件及爆破速率问题,利用比较原理和Hlder不等式,得到了问题解的爆破的充分条件,给出了爆破速率的上界和下界估计.The blasting conditions and blasting rate estimates of positive solutions to semilinear parabolic systems with null Dirichlet boundary conditions are studied. Comparison principle and inequality are utilized. The sufficient condition for blow-up of positive solution is established, the upper and lower bounds of blow-up rate were determined.

关 键 词：拟线性抛物型方程组 爆破速率估计 上下界 

分 类 号：O175.29[理学—数学]