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.
Author Details
Xiaona Miao Email
Xiaomin Xue Email
Fushan Li Email