Year: 2021
Author: Eadah Ahmad Alzahrani, Mohamed Majdoub
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 42–50
Abstract
We investigate the $p$-Laplace heat equation $u_t-\Delta_p u=ζ(t)f(u)$ in a bounded smooth domain. Using differential-inequality arguments, we prove blow-up results under suitable conditions on $ζ,$ $f,$ and the initial datum $u_0$. We also give an upper bound for the blow-up time in each case.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n1.3
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 42–50
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Parabolic problems $p$-Laplacian equation blow-up positive initial energy.