@Article{JNMA-1-3, author = {Xiaona, Miao and Xue, Xiaomin and Li, Fushan}, title = {Sufficient Conditions of Blow-up and Bound Estimations of Blow-up Time for a Parabolic Equation in Multi-Dimensional Space}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2019}, volume = {1}, number = {3}, pages = {415--424}, abstract = {
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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.415}, url = {https://global-sci.com/article/88054/sufficient-conditions-of-blow-up-and-bound-estimations-of-blow-up-time-for-a-parabolic-equation-in-multi-dimensional-space} }