<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SEBTI KERBAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">NON-EXISTENCE OF GLOBAL SOLUTIONS TO SYSTEMS OF NON-AUTONOMOUS NONLINEAR PARABOLIC EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">NON-LOCAL PARABOLIC SYSTEMS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B33</style></keyword><keyword><style  face="normal" font="default" size="100%">35K57</style></keyword><keyword><style  face="normal" font="default" size="100%">35K65.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">212</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We consider the non-autonomous system of nonlinear parabolic equations&lt;/div&gt;

&lt;div class=&quot;rtecenter&quot;&gt;&lt;img alt=&quot;&quot; height=&quot;66&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;136&quot; /&gt;&lt;/div&gt;

&lt;div class=&quot;rtejustify&quot;&gt;posed in&amp;nbsp;&lt;img alt=&quot;&quot; height=&quot;21&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;117&quot; /&gt;, subject to the initial data (u(0, x) = u&lt;sub&gt;0&lt;/sub&gt;(x), v(0, x) = v&lt;sub&gt;0&lt;/sub&gt;(x)), where p &amp;gt; 1 and q &amp;gt; 1 are positive real numbers, α, β ∈[0, 2] and ∆γ := (−∆)&lt;sup&gt;γ/2&lt;/sup&gt; is the (−∆)&lt;sup&gt;γ/2&lt;/sup&gt; fractional power of −∆ in the x variable defined via the Fourier transform &lt;img alt=&quot;&quot; height=&quot;20&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;15&quot; /&gt; and its inverse &lt;img alt=&quot;&quot; height=&quot;20&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;30&quot; /&gt; by (−∆)&lt;sup&gt;γ/2&lt;/sup&gt;w(x, t) = &lt;img alt=&quot;&quot; height=&quot;21&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;32&quot; /&gt;(|ξ|&lt;sup&gt;γ&lt;/sup&gt;&lt;img alt=&quot;&quot; height=&quot;20&quot; src=&quot;data:image/png;base64,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&quot; width=&quot;15&quot; /&gt;(w)(ξ)) (x, t), where r &amp;gt; −1 and s &amp;gt; −1.&lt;br /&gt;
The Fujita critical exponent which separates the case of blowing-up solutions from the case of globally in time existing solutions is determined.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">203</style></section></record></records></xml>