TY - JOUR
T1 - Sufficient Conditions of Blow-up and Bound Estimations of Blow-up Time for a Parabolic Equation in Multi-Dimensional Space
AU - Miao , Xiaona
AU - Xue , Xiaomin
AU - Li , Fushan
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 415
EP - 424
PY - 2021
DA - 2021/04
SN - 1
DO - http://doi.org/10.12150/jnma.2019.415
UR - https://global-sci.org/intro/article_detail/jnma/18852.html
KW - Sufficient conditions, blow-up, upper and lower bounds, multi-dimensional space.
AB - <p style="text-align: justify;">In this paper, we establish some sufficient conditions on the heat source function and the heat conduction function of the parabolic equation to guarantee that $u(x,t)$ blows up at finite time, and give upper and lower bounds of the blow-up time in multi-dimensional space.</p>