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Volumn 4, Issue 2, 2004, Pages 273-295

Uniqueness for an elliptic-parabolic problem with Neumann boundary condition

Author keywords

Degenerate parabolic equations; Doubling of variables; Neumann boundary condition; Nonlinear semigroup theory

Indexed keywords


EID: 2942536212     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00028-004-0143-1     Document Type: Article
Times cited : (18)

References (19)
  • 1
    • 0003362526 scopus 로고
    • Sobolev spaces
    • Academic Press, New York-London
    • ADAMS, R. A., Sobolev spaces. Academic Press, New York-London, 1975. Pure and Applied Mathematics, vol. 65.
    • (1975) Pure and Applied Mathematics , vol.65
    • Adams, R.A.1
  • 2
    • 0000836987 scopus 로고
    • Quasilinear elliptic-parabolic differential equations
    • ALT, H. W. and LUCKHAUS, S., Quasilinear elliptic-parabolic differential equations. Math. Z., 183(3), (1983) 311-341.
    • (1983) Math. Z. , vol.183 , Issue.3 , pp. 311-341
    • Alt, H.W.1    Luckhaus, S.2
  • 3
    • 0002389511 scopus 로고
    • Subsolutions for abstract evolution equations
    • BARTHÉLÉMY, L. and BÉNILAN, PH., Subsolutions for abstract evolution equations. Potential Anal., 1(1), (1992) 93-113.
    • (1992) Potential Anal. , vol.1 , Issue.1 , pp. 93-113
    • Barthélémy, L.1    Bénilan, Ph.2
  • 5
    • 4243637432 scopus 로고
    • 1. I. Étude du problème stationnaire
    • Baton Rouge, LA, 1992, Dekker, New York
    • 1. I. Étude du problème stationnaire. In Evolution equations (Baton Rouge, LA, 1992), pp. 35-62. Dekker, New York, 1995.
    • (1995) Evolution Equations , pp. 35-62
    • Bénilan, Ph.1    Touré, H.2
  • 7
    • 0000013866 scopus 로고    scopus 로고
    • On mild and weak solutions of elliptic-parabolic problems
    • BËNILAN, PH. and WITTBOLD, P., On mild and weak solutions of elliptic-parabolic problems. Adv. Differential Equations, 1(6), (1996) 1053-1073.
    • (1996) Adv. Differential Equations , vol.1 , Issue.6 , pp. 1053-1073
    • Bënilan, Ph.1    Wittbold, P.2
  • 9
    • 2942553675 scopus 로고
    • Etude d'un problème parabolique par les semi-groupes non linéaires
    • BOUHSISS, F., Etude d'un problème parabolique par les semi-groupes non linéaires. P.M.B. Analyse non linéaire, 15 (1995/97) 133-141.
    • (1995) P.M.B. Analyse non Linéaire , vol.15 , pp. 133-141
    • Bouhsiss, F.1
  • 10
    • 0033407951 scopus 로고    scopus 로고
    • Entropy solutions for nonlinear degenerate problems
    • CARRILLO, J., Entropy solutions for nonlinear degenerate problems. Arch. Ration. Mech. Anal., 147(4), (1999) 269-361.
    • (1999) Arch. Ration. Mech. Anal. , vol.147 , Issue.4 , pp. 269-361
    • Carrillo, J.1
  • 11
    • 0033587465 scopus 로고    scopus 로고
    • Uniqueness of renormalized solutions for degenerate elliptic-parabolic problems
    • CARRILLO, J. and WITTBOLD, P., Uniqueness of renormalized solutions for degenerate elliptic-parabolic problems. J. Diff. Eq., 156(1), (1999) 93-121.
    • (1999) J. Diff. Eq. , vol.156 , Issue.1 , pp. 93-121
    • Carrillo, J.1    Wittbold, P.2
  • 12
    • 0000018252 scopus 로고
    • Generation of semi-groups of nonlinear transformations on general Banach spaces
    • CRANDALL, M. G. and LIGGETT, T. M., Generation of semi-groups of nonlinear transformations on general Banach spaces. Amer. J. Math., 93(1971) 265-298.
    • (1971) Amer. J. Math. , vol.93 , pp. 265-298
    • Crandall, M.G.1    Liggett, T.M.2
  • 13
    • 21344475243 scopus 로고
    • On a nonlinear parabolic problem arising in some models related to turbulent flows
    • DIAZ, J. I. and DE THÉLIN, F., On a nonlinear parabolic problem arising in some models related to turbulent flows. SIAM J. Math. Anal., 25(4), (1994) 1085-1111.
    • (1994) SIAM J. Math. Anal. , vol.25 , Issue.4 , pp. 1085-1111
    • Diaz, J.I.1    De Thélin, F.2
  • 14
    • 0001177805 scopus 로고
    • Local existence of general nonlinear parabolic systems
    • FILO, J. and KAČUR, J., Local existence of general nonlinear parabolic systems. Nonlinear Anal., 24(11), (1995) 1597-1618.
    • (1995) Nonlinear Anal. , vol.24 , Issue.11 , pp. 1597-1618
    • Filo, J.1    Kačur, J.2
  • 15
    • 0000220623 scopus 로고
    • First order quasilinear equations with several independent variables
    • KRUŽKOV, S. N., First order quasilinear equations with several independent variables. Mat. Sb. (N.S.), 81(123), (1970) 228-255.
    • (1970) Mat. Sb. (N.S.) , vol.81 , Issue.123 , pp. 228-255
    • Kružkov, S.N.1
  • 16
    • 0000405695 scopus 로고
    • Boundary regularity for solutions of degenerate elliptic equations
    • LIEBERMAN, G. M., Boundary regularity for solutions of degenerate elliptic equations. Nonlinear Anal., 12(11), (1988) 1203-1219.
    • (1988) Nonlinear Anal. , vol.12 , Issue.11 , pp. 1203-1219
    • Lieberman, G.M.1
  • 18
    • 0030579044 scopus 로고    scopus 로고
    • 1-contraction and uniqueness for quasilinear elliptic-parabolic equations
    • 1-contraction and uniqueness for quasilinear elliptic-parabolic equations. J. Differential Equations, 131(1), (1996) 20-38.
    • (1996) J. Differential Equations , vol.131 , Issue.1 , pp. 20-38
    • Otto, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.