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Duke Mathematical Journal
Volumn 108, Issue 2, 2001, Pages 295-327
All time C∞-regularity of the interface in degenerate diffusion: A geometric approach

(3)  Daskalopoulos, P a   Hamilton, R a   Lee, K a  

a NONE
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0038340250     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-01-10824-7     Document Type: Article
Times cited : (43)
References (9)
  • 1
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    • MR 96c:35074
    • S. B. Angenent and D. G. Aronson, The focusing problem for the radially symmetric porous medium equation, Comm. Partial Differential Equations 20 (1995), 1217-1240. MR 96c:35074
    • (1995) Comm. Partial Differential Equations , vol.20 , pp. 1217-1240
    • Angenent, S.B.1    Aronson, D.G.2
  • 2
    • 0001395720 scopus 로고
    • Régularité des solutions de l'équation des milieux poreux dans $ \bf R∧n$
    • MR 82i:35090
    • D. G. Aronson and P. Bénilan, Régularité des solutions de l'équation des milieux poreux dans $ \bf R∧n$, C. R. Acad. Sci. Paris Ser. A-B 288 (1979), 103-105. MR 82i:35090
    • (1979) C. R. Acad. Sci. Paris Ser. A-B , vol.288 , pp. 103-105
    • Aronson, D.G.1    Bénilan, P.2
  • 3
    • 84968481098 scopus 로고
    • The initial trace of a solution of the porous medium equation
    • [3] MR 85c:35042
    • D. G. Aronson and L. A. Caffarelli, The initial trace of a solution of the porous medium equation, Trans. Amer. Math. Soc. 280 (1983), 351-366. MR 85c:35042
    • (1983) Trans. Amer. Math. Soc. , vol.280 , pp. 351-366
    • Aronson, D.G.1    Caffarelli, L.A.2
  • 4
    • 0018958786 scopus 로고
    • Regularity of the free boundary of a gas flow in an n-dimensional porous medium
    • [4] MR 82a:35096
    • 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), 361-391. MR 82a:35096
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 361-391
    • Caffarelli, L.A.1    Friedman, A.2
  • 5
    • 0001301181 scopus 로고
    • Lipschitz continuity of solutions and interfaces of the $N$-dimensional porous medium equation
    • [5] MR 88k:35221
    • 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), 373-401. MR 88k:35221
    • (1987) Indiana Univ. Math. J. , vol.36 , pp. 373-401
    • Caffarelli, L.A.1    Vázquez, J.L.2    Wolanski, N.I.3
  • 6
    • 84990556282 scopus 로고
    • $C∧1,\alpha$ regularity of the free boundary for the $N$-dimensional porous media equation
    • [6] MR 91h:35332
    • L. A. Caffarelli and N. I. Wolanski, $C∧1,\alpha$ regularity of the free boundary for the $N$-dimensional porous media equation, Comm. Pure Appl. Math. 43 (1990), 885-902. MR 91h:35332
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 885-902
    • Caffarelli, L.A.1    Wolanski, N.I.2
  • 7
    • 1842686661 scopus 로고    scopus 로고
    • The free boundary for the n-dimensional porous medium equation
    • [7] MR 98m:35227
    • P. Daskalopoulos and R. Hamilton, The free boundary for the n-dimensional porous medium equation, Internat. Math. Res. Notices 1997, 817-831. MR 98m:35227
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    • Daskalopoulos, P.1    Hamilton, R.2
  • 8
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    • Regularity of the free boundary for the porous medium equation
    • [8], MR 99d:35182
    • Regularity of the free boundary for the porous medium equation, J. Amer. Math. Soc. 11 (1998), 899-965. MR 99d:35182
    • (1998) J. Amer. Math. Soc. , vol.11 , pp. 899-965

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