<?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%">NADEJDA E. DYAKEVICH</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ON OCCURRENCE OF COMPLETE BLOW-UP OF THE SOLUTION FOR A DEGENERATE SEMILINEAR PARABOLIC PROBLEM WITH INSULATED BOUNDARY CONDITIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K57</style></keyword><keyword><style  face="normal" font="default" size="100%">35K60</style></keyword><keyword><style  face="normal" font="default" size="100%">35K65</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2015</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2015</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/24/06-dsa-83-96.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">24</style></volume><pages><style face="normal" font="default" size="100%">14</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Let a, σ, p, q, r, and m be constants with a &amp;gt; 0, σ &amp;gt; 0, p ≥ 0, q ≥ 0, r &amp;gt; 1, and m &amp;gt; 0. This article studies the following degenerate semilinear parabolic initial-boundary value problem, ξ quτ − uξξ = ξ pu r for 0 &amp;lt; ξ &amp;lt; a, 0 &amp;lt; τ &amp;lt; σ, u(ξ, 0) = u0 (ξ) = m for 0 ≤ ξ ≤ a, uξ(0, τ) = 0 = uξ(a, τ) for τ &amp;gt; 0. We derive criteria for u to blow up in finite time, and estimate the blow-up rate. We show that the blow-up is regional if q &amp;gt; p; the blow-up is complete if q = p; and the blow-up cannot be complete if p &amp;gt; q.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">83</style></section></record></records></xml>