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In particular we show the H\u00f6lder continuity of the free boundary. Estimates on the rate of convergence when the specific heat vanishes are given for the variational solutions and for the free boundaries.<\/jats:p>","DOI":"10.1017\/s0308210500026354","type":"journal-article","created":{"date-parts":[[2011,11,14]],"date-time":"2011-11-14T13:16:05Z","timestamp":1321276565000},"page":"263-275","source":"Crossref","is-referenced-by-count":11,"title":["Remarks on the quasi-steady one phase Stefan problem"],"prefix":"10.1017","volume":"102","author":[{"given":"Bento","family":"Louro","sequence":"first","affiliation":[]},{"given":"Jos\u00e9-Francisco","family":"Rodrigues","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2011,11,14]]},"reference":[{"key":"S0308210500026354_ref012","first-page":"121","article-title":"Some special properties of solutions to obstacle problems","volume":"71","author":"Maderna","year":"1984","journal-title":"Rend. 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