曲阜师范大学学报(自然科学版)2019,Vol.45Issue(4):1-7,7.DOI:10.3969/j.issn.1001-5337.2019.4.001
具有变频率热源的抛物方程的爆破现象
Blow-up phenomena for parabolic equation with variable frequency heat source
摘要
Abstract
In this paper,the sufficient conditions to ensure that blow up phenomena occurs of the solution to the semilinear heat equation with time dependent coefficients under inhomogeneous Neumann boundary conditions and the upper and lower bounds for the blow-up time t* by constructing some suitable auxiliary functionals are given.关键词
爆破/变频率热源/非齐次Neumann边界/上界/下界Key words
blow-up/variable frequency heat source/inhomogeneous Neumann boundary/upper bound/lower bound分类
数理科学引用本文复制引用
柳鲁岩,杜广伟,李傅山..具有变频率热源的抛物方程的爆破现象[J].曲阜师范大学学报(自然科学版),2019,45(4):1-7,7.基金项目
National Natural Science Foundation of China (11201258). (11201258)