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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
DOI: https://doi.org/10.1090/S0002-9939-1988-0920995-1
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.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0920995-1
Article copyright: © Copyright 1988 American Mathematical Society

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