@Article{JPDE-18-263,
author = {Zhenchao Cao },
title = {A Critical Value for Global Nonexistence of Solution of a Wave Equation},
journal = {Journal of Partial Differential Equations},
year = {2005},
volume = {18},
number = {3},
pages = {263--266},
abstract = {<p>Consider the Cauchy problem for a wave equation on R²: u_{tt} - Δu = |u|^{p-1}u. In 1981 Glassey gave a guess to a critical value p(2) = \frac{1}{2}(3 + \sqrt{17}): when p &gt; p(2) there may exist a global solution and when 1 &lt; p &lt; p(2) the solution may blow up. By our main result in this paper a counter example to the guess is given that the solution may also blow up in finite time even if p(2) &lt; p &lt; 5.</p>},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5361.html}
}