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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Analyticity of the interface of the porous media equation after the waiting time


Author: Sigurd Angenent
Journal: Proc. Amer. Math. Soc. 102 (1988), 329-336
MSC: Primary 35K55,; Secondary 76S05
MathSciNet review: 920995
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Abstract: We prove that the free boundary of a solution of the porous media equation, with compactly supported initial data, is real analytic after the waiting time. The proof uses the maximal regularity theory of Da Prato and Grisvard.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0920995-1
PII: S 0002-9939(1988)0920995-1
Article copyright: © Copyright 1988 American Mathematical Society