@Article{JPDE-34-42,
author = {Alzahrani , Eadah Ahmad and Majdoub , Mohamed},
title = {Remarks on Blow-Up Phenomena in $p$-Laplacian Heat Equation with Inhomogeneous Nonlinearity},
journal = {Journal of Partial Differential Equations},
year = {2021},
volume = {34},
number = {1},
pages = {42--50},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v34.n1.3},
url = {http://global-sci.org/intro/article_detail/jpde/18553.html}
}