关于一类抛物问题爆破时间下界估计的注记  

Remark on the Lower Bound for the Blowup Time of the Solution to a Parabolic Equation

作　　者：王园园 霍志鑫 孔德志 程树明 周利杰 WANG Yuan-yuan;HUO Zhi-xin;KONG De-zhi;CHENG Shu-ming;ZHOU Li-jie(Foundation Department, Hebei University of Water Resources and Electric Engineering, 061001, Cangzhou, Hebei, China;School of Electrical Engineering, Hebei University of Water Resources and Electric Engineering, 061001, Cangzhou, Hebei, China)

机构地区：[1]河北水利电力学院基础部,河北省沧州市061001 [2]河北水利电力学院电气工程学院,河北省沧州市061001

出　　处：《河北水利电力学院学报》2021年第1期72-74,80,共4页Journal of Hebei University Of Water Resources And Electric Engineering

基　　金：河北省教育厅重点项目(ZD2016125)。

摘　　要：文中将拟线性抛物问题爆破时间的下界估计结果推广到了含散度型微分算子以及非线性项形式的更一般情形,利用拟线性爆破时间下界估值的思想方法和一些不等式估计,得出爆破时间的一个下界估计,并给出了定理。In this paper,the lower bound of blow up time for quasilinear parabolic problem is extended to the more general cases with divergence type differential operators and nonlinear terms.By using the idea of lower bound of blow up time for quasilinear parabolic problems and some inequality estimates,a lower bound of blow up time is obtained,and a theorem is given.

关 键 词：散度型微分算子 拟线性抛物方程 爆破时间的下界 

分 类 号：O175.26[理学—基础数学]