<?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%">JONG-SHENQ GUO</style></author><author><style face="normal" font="default" size="100%">CHANG-SHOU LIN</style></author><author><style face="normal" font="default" size="100%">MASAHIKO SHIMOJO</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">BLOW-UP BEHAVIOR FOR A PARABOLIC EQUATION WITH SPATIALLY DEPENDENT COEFFICIENT</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/19/30-DSA-30-03.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">19</style></volume><pages><style face="normal" font="default" size="100%">19</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We study the initial boundary value problem and Cauchy problem for the semilinear heat equation with power nonlinearity and spatially dependent coefficient. First, for the initial boundary value problem, we establish several conditions that ensure the origin is not a blow-up point. Then the Cauchy problem for a special case is also studied. Finally, we derive the blow-up rate when the origin is not a blow-up point.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">415</style></section></record></records></xml>