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Volumn 7, Issue 3, 2008, Pages 591-600

Regularity for solutions of the two-phase Stefan problem

Author keywords

Degenerate parabolic equation; Stefan problem

Indexed keywords


EID: 42149158773     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2008.7.591     Document Type: Article
Times cited : (6)

References (13)
  • 1
    • 0041544773 scopus 로고
    • Initial traces of solutions to a one-phase Stefan problem in an infinite strip
    • D. Andreucci and M. K. Korten, Initial traces of solutions to a one-phase Stefan problem in an infinite strip, Rev. Mat. Iberoamericana, 9 (1993), 315-332.
    • (1993) Rev. Mat. Iberoamericana , vol.9 , pp. 315-332
    • Andreucci, D.1    Korten, M.K.2
  • 3
    • 42149114246 scopus 로고    scopus 로고
    • The Hele-Shaw problem as a "mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary
    • submitted
    • I. A. Blank, M. K. Korten and C. N. Moore, The Hele-Shaw problem as a "mesa" limit of Stefan problems: existence, uniqueness, and regularity of the free boundary, submitted.
    • Blank, I.A.1    Korten, M.K.2    Moore, C.N.3
  • 4
    • 42149179531 scopus 로고    scopus 로고
    • Existence, uniqueness and regularity of the free boundary in the Hele-Shaw problem with a degenerate phase
    • Harmonic Analysis, Partial Differential Equations, and Related Topics, American Mathematical Society
    • I. A. Blank, M. K. Korten and C. N. Moore, Existence, uniqueness and regularity of the free boundary in the Hele-Shaw problem with a degenerate phase, in "Harmonic Analysis, Partial Differential Equations, and Related Topics," American Mathematical Society, Contemporary Mathematics volume 428, (2007), 33-42.
    • (2007) Contemporary Mathematics , vol.428 , pp. 33-42
    • Blank, I.A.1    Korten, M.K.2    Moore, C.N.3
  • 5
    • 0020549958 scopus 로고
    • Continuity of the temperature in the two-phase Stefan problem
    • L. A. Caffarelli and L. C. Evans, Continuity of the temperature in the two-phase Stefan problem, Arch. Rational Mech. Anal., 81 (1983), 199-220.
    • (1983) Arch. Rational Mech. Anal , vol.81 , pp. 199-220
    • Caffarelli, L.A.1    Evans, L.C.2
  • 6
    • 84966205257 scopus 로고
    • Weak solutions of the porous medium equation
    • B. E. J. Dahlberg and C. E. Kenig, Weak solutions of the porous medium equation, Trans. Amer. Math. Soc., 336 (1993), 711-725.
    • (1993) Trans. Amer. Math. Soc , vol.336 , pp. 711-725
    • Dahlberg, B.E.J.1    Kenig, C.E.2
  • 7
    • 33746535473 scopus 로고    scopus 로고
    • On the pointwise jump condition at the free boundary in the 1-phase Stefan problem
    • D. Danielli and M. K. Korten, On the pointwise jump condition at the free boundary in the 1-phase Stefan problem, Commun. Pure Appl. Anal., 4 (2005), 357-366.
    • (2005) Commun. Pure Appl. Anal , vol.4 , pp. 357-366
    • Danielli, D.1    Korten, M.K.2
  • 8
    • 0005754738 scopus 로고
    • Continuity of weak solutions to certain singular parabolic equations
    • E. DiBenedetto, Continuity of weak solutions to certain singular parabolic equations, Ann. Mat. Pura Appl., 130 (1982), 131-176.
    • (1982) Ann. Mat. Pura Appl , vol.130 , pp. 131-176
    • DiBenedetto, E.1
  • 10
    • 34249311619 scopus 로고    scopus 로고
    • The Cauchy problem for the two phase Stefan problem
    • M. K. Korten and C. N. Moore, The Cauchy problem for the two phase Stefan problem, Commun. Appl. Anal., 11 (2007), 43-52.
    • (2007) Commun. Appl. Anal , vol.11 , pp. 43-52
    • Korten, M.K.1    Moore, C.N.2
  • 12
    • 0000530180 scopus 로고
    • Continuity of solutions of a singular parabolic equation
    • P. E. Sacks, Continuity of solutions of a singular parabolic equation, Nonlinear Anal., 7 (1983), 387-409.
    • (1983) Nonlinear Anal , vol.7 , pp. 387-409
    • Sacks, P.E.1
  • 13
    • 0001428698 scopus 로고
    • Interior and boundary continuity of weak solutions of degenerate parabolic equations
    • W. P. Ziemer, Interior and boundary continuity of weak solutions of degenerate parabolic equations, Trans. Amer. Math. Soc., 271 (1982), 733-748.
    • (1982) Trans. Amer. Math. Soc , vol.271 , pp. 733-748
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.