文章基本信息

标题：The one-phase Stefan problem and the porous medium diffusion equation: Continuity of the solution in n space dimensions
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作者：Luis A. Caffarelli ; Avner Friedman
期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1978
卷号：75
期号：5
页码：2084-2084
DOI：10.1073/pnas.75.5.2084
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：The following problems are considered: (i) the one-phase Stefan problem, which describes the melting of ice, and (ii) the flow of gas in a porous medium. Both problems are considered in the n-dimensional space. The main result asserts that the solution [i.e., the temperature in problem (i) and the density in problem (ii)] is continuous.
关键词：melting of solids ; flow of gas in a porous medium ; free boundary problem ; regularity of solutions