摘要
研究具有Neumann非局部边界条件的反应扩散方程,利用上下解方法证明了整体解和爆破解存在的条件,并利用辅助函数构造法和微分不等式技巧得到了爆破时间的上、下界.
Through studying the reaction-diffusion equations with Neumann’s non-local boundary conditions,the conditions for the existence of global solutions and blow-up solutions are proved by using the upper and lower solution method,and the upper and lower bounds on blow-up time are obtained by using the method of constructing proper auxiliary function and the technique of differential inequality.
作者
岳丽霞
孟海霞
Yue Lixia;Meng Haixia(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《宁夏大学学报（自然科学版）》
CAS
2022年第4期330-333,共4页
Journal of Ningxia University(Natural Science Edition)
基金
国家自然科学基金资助项目(11961039)。
关键词
非局部边界条件
全局解
爆破
non-local boundary conditions
global solutions
blow-up
