带非线性记忆边界条件的热方程组解的爆破问题  

Blow-up Analysis for the Heat System with a Nonlinear Memory Boundary Condition

作　　者：李慧芳[1] 

机构地区：[1]西华大学理学院,成都610039

出　　处：《四川理工学院学报（自然科学版）》2015年第5期97-100,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：四川省教育厅重点科研项目(14ZA0119);西华大学研究生创新基金(ycjj2015052)

摘　　要：讨论一类具有幂函数型非线性记忆边界条件的热方程组解的爆破问题。综合应用上下解技巧及一些积分估计,给出了方程组解的整体存在和有限时刻爆破的完整分类,证明了在某些情形下爆破仅在区域边界上发生。A kind of blow-up problems of heat system with power function type nonlinear memory boundary condition are discussed. By using the upper and lower solution technique and some integral estimates,a complete classification of the global existence and blow-up in finite time of solutions of the equation system is given. At the same time,it is proved that under certain conditions blow-up occurs only on the area boundary.

关 键 词：抛物型方程组 记忆边界条件 爆破 爆破集 

分 类 号：O175.2[理学—数学]