一个半线性耦合抛物型方程组爆破解的速率估计  

Blow-up Estimates for a Semilinear Parabolic System Coupled in both Equations and Boundary Conditions

作　　者：范萍[1] 李刚[1] 黄瑜[1] 

机构地区：[1]南京信息工程大学数理学院,江苏南京210044

出　　处：《南京气象学院学报》2008年第3期441-446,共6页Journal of Nanjing Institute of Meteorology

基　　金：国家自然科学基金资助项目(40475028)

摘　　要：考虑一个方程和非线性边界条件耦合的半线性抛物型方程组,运用Scaling方法、Green函数、Schauder估计等方法,研究该方程组解的爆破速率,并给出非线性反应项和吸收项对爆破速率的影响。In this paper,we consider a semilinear parabolic system,and deal with the blow-up estimates of the position solution with the Scaling method, Green fuction and Schauder estimates, yielding the upper and lower bounds of blow-up rates. Moreover we give the impacts of nonlinear reaction terms and boundary absorption terms on the blow-up estimates.

关 键 词：半线性抛物型方程 非线性边界条件 爆破速率 上下界 

分 类 号：O175.26[理学—数学]