@Article{JPDE-25-1,
author = {Berbiche , Mohamed and Hakem , Ali},
title = {Non-existence of Global Solutions for a Fractional Wave-diffusion Equations},
journal = {Journal of Partial Differential Equations},
year = {2012},
volume = {25},
number = {1},
pages = {1--20},
abstract = {<p>We considered the Cauchy problem for the fractional wave-diffusion equation $$D^αu-Δ|u|^{m-1}u+(-Δ)^{β/2}D^γ|u|^{l-1}u=h(x,t)|u|^p+f(x,t)$$ with given initial data and where p &gt; 1, 1 &lt; α &lt; 2, 0 &lt; β &lt; 2, 0 &lt; γ &lt; 1. Nonexistence results and necessary conditions for global existence are established by means of the test function method. This results extend previous works.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v25.n1.1},
url = {http://global-sci.org/intro/article_detail/jpde/5171.html}
}