具非局部源半线性抛物方程变号解爆破时间的下界估计  

Estimation of Lower Bounds of Blow-up Time for Variable Sign Solutions of Semilinear Parabolic Equations with Nonlocal Sources

作　　者：孙爱慧[1] 陈鹏 李岩 包开花[2] SUN Aihui;CHEN Peng;LI Yan;BAO Kaihua(College of Mathematics,Jilin Normal University,Siping 136000,Jilin Province,China;College of Mathematics,Inner Mongolia University for Nationalities,Tongliao 028000,Inner Mongolia Autonomous Region,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000 [2]内蒙古民族大学数学学院,内蒙古通辽028000

出　　处：《吉林大学学报（理学版）》2019年第6期1400-1402,共3页Journal of Jilin University:Science Edition

基　　金：内蒙古自然科学基金(批准号:2018LH01004);吉林省教育厅“十三五”科学技术研究项目(批准号:JJKH20180767KJ);吉林师范大学博士启动项目(批准号:吉师博2019001)

摘　　要：考虑一类具非局部源半线性抛物方程Neuman边值问题解的爆破性质,通过构造辅助函数并利用一阶微分不等式,给出该方程解爆破时间的下界估计.We considered the blow-up properties of solutions of Neuman boundary value problems for a class of semilinear parabolic equations with nonlocal sources.By constructing auxiliary functions and using the first order differential inequality,we gave the estimation of lower bound of blow-up time for solutions of the equations.

关 键 词：非局部源 半线性 爆破时间 下界 

分 类 号：O175.8[理学—数学]