带非线性边界条件热方程组正解的爆破速率估计  

Estimates of Blow-up Rates for the Positive Solution of Heat Equation with a Nonlinear Boundary Condition

作　　者：李静[1] 赵安娜[2] 

机构地区：[1]郑州铁路职业技术学院,郑州450052 [2]郑州师范高等专科学校,郑州450044

出　　处：《郑州大学学报（理学版）》2005年第4期17-21,共5页Journal of Zhengzhou University:Natural Science Edition

摘　　要：利用最大最小值原理和上下解的方法,研究了一类既有非线性反应项又有非线性边界条件的热方程组正解爆破速率的估计,得到了估计的上下界.By use of upper and lower solution method and maximum and minimum principle, the estimates of blow-up rates for the positive solution of the heat equation with a nonlinear reaction term and a nonlinear boundary condition are presented,and the upper and lower bounds of the estimates have been got.

关 键 词：爆破 速率估计 上下界 

分 类 号：O175.26[理学—数学]