具有非局部边界条件的抛物型方程的爆破解  

Blow-up Solutions for Parabolic Equation with Non-local Boundary Conditions

作　　者：岳丽霞 孟海霞[1] Yue Lixia;Meng Haixia(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《宁夏大学学报（自然科学版）》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)。

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.

关 键 词：非局部边界条件 全局解 爆破 

分 类 号：O175.26[理学—数学]