Sufficient Conditions of Blow-up and Bound Estimations of Blow-up Time for a Parabolic Equation in Multi-Dimensional Space
Year: 2019
Author: Xiaona Miao, Xiaomin Xue, Fushan Li
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.415
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 415–424
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Sufficient conditions blow-up upper and lower bounds multi-dimensional space.