<?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%">MARIANNE K. KORTEN</style></author><author><style face="normal" font="default" size="100%">CHARLES N. MOORE</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">UNIQUENESS FOR SOLUTIONS OF THE TWO PHASE STEFAN PROBLEM WITH SIGNED MEASURES AS DATA</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%">UNIQUENESS FOR THE TWO PHASE STEFAN PROBLEM</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35K55</style></keyword><keyword><style  face="normal" font="default" size="100%">35K65</style></keyword><keyword><style  face="normal" font="default" size="100%">80A22</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/7.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">100</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 two-phase Stefan problem u t = ∆α(u) where α(u) = u + 1 for u &amp;lt; −1, α(u) = 0 for −1 ≤ u ≤ 1, and α(u) = u − 1 for u &amp;gt; 1. We show uniqueness of solutions which have signed measures as initial data, that is, we show that if the difference of two solutions u and v defined on R&lt;sup&gt;n&lt;/sup&gt; × (0, T ) vanishes in a weak sense as t → 0 then u = v a.e.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">89</style></section></record></records></xml>