@Article{JPDE-34-4,
author = {Qitong, Ou},
title = {The Nonexistence of the Solutions for the Non-Newtonian Filtration Equation with Absorption},
journal = {Journal of Partial Differential Equations},
year = {2021},
volume = {34},
number = {4},
pages = {369--378},
abstract = {<p style="white-space: normal; text-align: justify;">The paper proves the nonexistence of the solution for the following Cauchy problem<br/>\begin{align*}\begin{cases}u_{t} ={\rm div}\left(\left|\nabla u^{m} \right|^{p-2} \nabla u^{m} \right)-\lambda \; u^{q},&amp;\qquad \left(x,t\right)\in S_{T} ={\mathbb{R}}^N \times \left(0,T\right), \\u\left(x,\; 0\right)=\delta \left(x\right), &amp;\qquad x\in {\mathbb{R}}^N,\end{cases}\end{align*}<br/>under some conditions on $m, p, q, \lambda$, where $\delta $ is Dirac function.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v34.n4.4},
url = {https://global-sci.com/article/88147/the-nonexistence-of-the-solutions-for-the-non-newtonian-filtration-equation-with-absorption}
}