On the short-time behavior of the free boundary of a porous medium equation
Carmen Cortázar, Manuel del Pino, and Manuel Elgueta
Source: Duke Math. J. Volume 87, Number 1
(1997), 133-149.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241953
Mathematical Reviews number (MathSciNet): MR1440066
Zentralblatt MATH identifier: 0874.35091
Digital Object Identifier: doi:10.1215/S0012-7094-97-08706-8
References
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Digital Object Identifier: doi:10.1080/03605309508821130
[AA2] S. B. Angenent and D. G. Aronson, Self-similarity in the post-focussing regime in porous medium flows, European J. Appl. Math. 7 (1996), no. 3, 277–285.
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[A] D. G. Aronson, Nonlinear diffusion problems, Free boundary problems: theory and applications, Vol. I, II (Montecatini, 1981), Res. Notes in Math., vol. 78, Pitman, Boston, MA, 1983, pp. 135–149.
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[AC] D. G. Aronson and L. A. Caffarelli, The initial trace of a solution of the porous medium equation, Trans. Amer. Math. Soc. 280 (1983), no. 1, 351–366.
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JSTOR: links.jstor.org
[CF] L. A. Caffarelli and A. Friedman, Regularity of the free boundary of a gas flow in an $n$-dimensional porous medium, Indiana Univ. Math. J. 29 (1980), no. 3, 361–391.
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[CVW] L. A. Caffarelli, J. L. Vázquez, and N. I. Wolanski, Lipschitz continuity of solutions and interfaces of the $N$-dimensional porous medium equation, Indiana Univ. Math. J. 36 (1987), no. 2, 373–401.
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[CE] C. Cortázar and M. Elgueta, How long does it take for a gas to fill a porous container? Proc. Amer. Math. Soc. 122 (1994), no. 2, 449–453.
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JSTOR: links.jstor.org
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