摘要
研究了系数依赖于时间的抛物系统解的爆破现象.应用微分不等式技术,得到了一类系数依赖于时间的抛物系统存在全局解的条件.当系统的数据项满足不同的适当约束条件时,推导了爆破时间的上下界.
In this paper, we study the blow-up phenomena for parabolic systems with time dependent coefficients. By using a differential inequality technique, the sufficient conditions for the existence of global positive solution are obtained for a class of parabolic systems with time dependent coefficients. An upper bound and lower bound for blow-up time are derived under different constraint on the data.
作者
李远飞
LI Yuan-fei(Department of Mathematics,Huashang College Guangdong University of Finance&Economics,Guangzhou 511300,China)
出处
《数学的实践与认识》
北大核心
2019年第4期193-200,共8页
Mathematics in Practice and Theory
基金
广东省高等教育2018年"创新强校"专项资金(HS2018CXQX24)
关键词
爆破
全局存在性
抛物方程
blow-up
global existence
parabolic systems
