@Article{JPDE-22-3,
author = {},
title = {A Note to the Cauchy Problem for the Degenerate Parabolic Equations with Strongly Nonlinear Sources},
journal = {Journal of Partial Differential Equations},
year = {2009},
volume = {22},
number = {3},
pages = {199--204},
abstract = {<p>In this note we study the nonexistence of nontrivial global solutions on S=R^N×(0,∞) for the following inequalities: |u|_t≥Δ(|u|^{m-1}u)+|u|^q, and &nbsp;|u|_t≥div(|∇u|^{p-2}∇|u|)+|u|^q. When m, p, q satisfy some given conditions, the nonexistence of nontrivial global solution is proved, without taking their traces on the hyperplans t=0 into account.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v22.n3.1},
url = {https://global-sci.com/article/88420/a-note-to-the-cauchy-problem-for-the-degenerate-parabolic-equations-with-strongly-nonlinear-sources}
}