@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 = {
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 |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.
}, 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} }