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Volumn 46, Issue 3, 1997, Pages 719-740

Pointwise and viscosity solutions for the limit of a two phase parabolic singular perturbation problem

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EID: 0000412758     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.1997.46.1413     Document Type: Article
Times cited : (48)

References (11)
  • 1
    • 0030536801 scopus 로고    scopus 로고
    • Caloric functions in Lipschitz domains and the regularity of solutions to phase transition problems
    • I. ATHANASOPOULOS, L. A. CAFFARELLI, S. SALSA, Caloric functions in Lipschitz domains and the regularity of solutions to phase transition problems, Annals of Mathematics 143(3) (1996), 413-434.
    • (1996) Annals of Mathematics , vol.143 , Issue.3 , pp. 413-434
    • Athanasopoulos, I.1    Caffarelli, L.A.2    Salsa, S.3
  • 2
    • 0001055847 scopus 로고    scopus 로고
    • Regularity of the free boundary in parabolic phase transition problems
    • I. ATHANASOPOULOS, L. A. CAFFARELLI, S. SALSA, Regularity of the free boundary in parabolic phase transition problems, Acta Mathematica 176(2) (1996), 243-282.
    • (1996) Acta Mathematica , vol.176 , Issue.2 , pp. 243-282
    • Athanasopoulos, I.1    Caffarelli, L.A.2    Salsa, S.3
  • 3
    • 0000317631 scopus 로고
    • Uniform estimates for regularization of free boundary problems
    • Analysis and Partial Differential Equations (Cora Sadosky, eds.), Marcel Dekker, New York
    • H. BERESTYCKI, L. A. CAFFARELLI, L. NIRENBERG, Uniform estimates for regularization of free boundary problems, Analysis and Partial Differential Equations (Cora Sadosky, eds.), Lecture Notes in Pure and Applied Mathematics, Vol. 122, Marcel Dekker, New York, 1988.
    • (1988) Lecture Notes in Pure and Applied Mathematics , vol.122
    • Berestycki, H.1    Caffarelli, L.A.2    Nirenberg, L.3
  • 5
    • 0040057360 scopus 로고
    • A monotonicity formula for heat functions in disjoint domains
    • dedicated to E. Magenes (J. L. Lions, C. Baiocchi, eds.), Masson, Paris
    • L. A. CAFFARELLI, A monotonicity formula for heat functions in disjoint domains, Boundary value problems for P.D.E.'s and applications, dedicated to E. Magenes (J. L. Lions, C. Baiocchi, eds.), Masson, Paris, 1993, pp. 53-60.
    • (1993) Boundary Value Problems for P.D.E.'s and Applications , pp. 53-60
    • Caffarelli, L.A.1
  • 6
    • 0038755930 scopus 로고
    • Uniform Lipschitz regularity of a singular perturbation problem
    • _ , Uniform Lipschitz regularity of a singular perturbation problem, Diff. and Int. Eqs. 8(7) (1995), 1585-1590.
    • (1995) Diff. and Int. Eqs. , vol.8 , Issue.7 , pp. 1585-1590
  • 8
    • 84966198519 scopus 로고
    • A free boundary problem for the heat equation arising in flame propagation
    • L. A. CAFFARELLI, J. L. VÁZQUEZ, A free boundary problem for the heat equation arising in flame propagation, Trans. Amer. Math. Soc. 347 (1995), 411-441.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 411-441
    • Caffarelli, L.A.1    Vázquez, J.L.2
  • 9
    • 0040443293 scopus 로고
    • Comparison theorems for temperatures in noncylindrical domains
    • ser. 8
    • E. FABES, N. GAROFALO, S. SALSA, Comparison theorems for temperatures in noncylindrical domains, Atti Accad. Naz. Lincei. Rend. 77 ser. 8 (1984), 1-12.
    • (1984) Atti Accad. Naz. Lincei. Rend. , vol.77 , pp. 1-12
    • Fabes, E.1    Garofalo, N.2    Salsa, S.3
  • 10
    • 0038872829 scopus 로고
    • Investigations on the maximum principle
    • L. I. KAMYNIN, B. N. HIMCENKO, Investigations on the maximum principle, Soviet Math. Dokl. 19 (3) (1978), 677-681.
    • (1978) Soviet Math. Dokl. , vol.19 , Issue.3 , pp. 677-681
    • Kamynin, L.I.1    Himcenko, B.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.