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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Analyticity of the interface of the porous media equation after the waiting time
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by Sigurd Angenent PDF
Proc. Amer. Math. Soc. 102 (1988), 329-336 Request permission

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
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • 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