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Volumn 3, Issue 3, 2004, Pages 555-587

A strongly degenerate quasilinear equation: The elliptic case

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EID: 14644436826     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (22)

References (30)
  • 1
    • 0003722380 scopus 로고    scopus 로고
    • Functions of bounded variation and free discontinuity problems
    • The Clarendom Press, Oxford University Press
    • L. Ambrosio - N. Fusco - D. Pallara, “Functions of Bounded Variation and Free Discontinuity Problems”, Oxford Mathematical Monographs, The Clarendom Press, Oxford University Press, 2000.
    • (2000) Oxford Mathematical Monographs
    • Ambrosio, L.1    Fusco, N.2    Pallara, D.3
  • 2
    • 0036018794 scopus 로고    scopus 로고
    • A parabolic quasilinear problem for linear growth functionals
    • F. Andreu - V. Caselles - J.M. Mazón, A parabolic quasilinear problem for linear growth functionals, Rev. Mat. Iberoamericana 18 (2002), 135-185.
    • (2002) Rev. Mat. Iberoamericana , vol.18 , pp. 135-185
    • Andreu, F.1    Caselles, V.2    Mazón, J.M.3
  • 4
    • 0141461787 scopus 로고    scopus 로고
    • The cauchy problem for linear growth functionals with
    • F. Andreu - V. Caselles - J.M. Mazón, The Cauchy Problem for Linear Growth Functionals with, J. Evol. Equ. 3 (2003), 39-65.
    • (2003) J. Evol. Equ. , vol.3 , pp. 39-65
    • Andreu, F.1    Caselles, V.2    Mazón, J.M.3
  • 5
    • 14644409526 scopus 로고    scopus 로고
    • Parabolic quasilinear equations minimizing linear growth functionals
    • Birkhäuser-Verlag, Basel
    • F. Andreu - V. Caselles - J.M. Mazón, “Parabolic Quasilinear Equations Minimizing Linear Growth Functionals”, Progress in Mathematics, vol. 223, Birkhäuser-Verlag, Basel, 2004.
    • (2004) Progress in Mathematics , vol.223
    • Andreu, F.1    Caselles, V.2    Mazón, J.M.3
  • 7
    • 0000978548 scopus 로고
    • Pairings between measures and bounded functions and compensated compactness
    • G. Anzellotti, Pairings Between Measures and Bounded Functions and Compensated Compactness, Ann. Mat. Pura Appl. (4) 135 (1983), 293-318.
    • (1983) Ann. Mat. Pura Appl. , vol.135 , Issue.4 , pp. 293-318
    • Anzellotti, G.1
  • 8
    • 0027397245 scopus 로고
    • A mathematical Model of turbulent heat and mass transfer in stable stratified shear flow
    • -
    • G.I. Barenblatt - M. Bertsch - R. Dal Passo - V.M. Prostokishin - M. Ughi, A mathematical Model of Turbulent Heat and Mass Transfer in Stable Stratified Shear Flow, J. Fluid Mech. 253 (1993), 341-358.
    • (1993) J. Fluid Mech. , vol.253 , pp. 341-358
    • Barenblatt, G.I.1    Bertsch, M.2    Dal Passo, R.3    Prostokishin, V.M.4    Ughi, M.5
  • 10
    • 0002357757 scopus 로고
    • Completely accretive operators
    • Ph. Clement et al. (eds.), Marcel Dekker
    • Ph. Bénilan - M.G. Crandall, Completely Accretive Operators, In: “Semigroups Theory and Evolution Equations”, Ph. Clement et al. (eds.), Marcel Dekker, 1991, pp. 41-76.
    • (1991) Semigroups Theory and Evolution Equations , pp. 41-76
    • Bénilan, Ph.1    Crandall, M.G.2
  • 12
    • 0000272967 scopus 로고
    • Hyperbolic phenomena in a strongly degenerate parabolic equation
    • M. Bertsch - R. Dal Passo, Hyperbolic Phenomena in a Strongly Degenerate Parabolic Equation, Arch. Ration. Mech. Anal. 117 (1992), 349-387.
    • (1992) Arch. Ration. Mech. Anal. , vol.117 , pp. 349-387
    • Bertsch, M.1    Dal Passo, R.2
  • 13
    • 0009380979 scopus 로고
    • A parabolic equation with mean-curvature type operator
    • F. Browder (ed.), 7 Birkhäuser
    • M. Bertsch - R. Dal Passo, A Parabolic Equation with Mean-Curvature Type Operator, In: “Progres Nonlinear Differential Equation Appl.”, F. Browder (ed.), 7 Birkhäuser, 1992, 89-97.
    • (1992) Progres Nonlinear Differential Equation Appl , pp. 89-97
    • Bertsch, M.1    Dal Passo, R.2
  • 14
    • 14644433485 scopus 로고
    • On the regularity of the solutions of some degenerate parabolic equations
    • Ph. Blanc, On the regularity of the solutions of some degenerate parabolic equations, Comm. Partial Differential Equations 18 (1993), 821-846.
    • (1993) Comm. Partial Differential Equations , vol.18 , pp. 821-846
    • Blanc, Ph.1
  • 17
    • 0033587465 scopus 로고    scopus 로고
    • Uniqueness of renormalized solutions of degenerate elliptic-Parabolic problems
    • J. Carrillo - P. Wittbold, Uniqueness of Renormalized Solutions of Degenerate Elliptic-Parabolic problems, J. Differential Equations 156 (1999), 93-121.
    • (1999) J. Differential Equations , vol.156 , pp. 93-121
    • Carrillo, J.1    Wittbold, P.2
  • 18
    • 0001274528 scopus 로고
    • Nonlinear semigroups and evolution governed by accretive operators
    • Part I, F. Browder (ed.) A.M.S., Providence
    • M. G. Crandall, Nonlinear Semigroups and Evolution Governed by Accretive Operators, In: “Proceeding of Symposium in Pure Mat.”, Part I, F. Browder (ed.) A.M.S., Providence 1986, 305-338.
    • (1986) Proceeding of Symposium in Pure Mat , pp. 305-338
    • Crandall, M.G.1
  • 19
    • 0000018252 scopus 로고
    • Generation of semigroups of nonlinear transformations on general Banach spaces
    • M. G. Crandall - T. M. Liggett, Generation of Semigroups 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
  • 20
    • 34250266442 scopus 로고
    • Integral representation on BV() of -limits of variational integrals
    • G. Dal Maso, Integral representation on BV() of -limits of variational integrals, Manuscripta Math. 30 (1980), 387-416.
    • (1980) Manuscripta Math , vol.30 , pp. 387-416
    • Dal Maso, G.1
  • 21
    • 84963154712 scopus 로고
    • Uniqueness of the entropy solution of a strongly degenerate parabolic equation
    • R. Dal Passo, Uniqueness of the entropy solution of a strongly degenerate parabolic equation, Comm. Partial Differential Equations 18 (1993), 265-279.
    • (1993) Comm. Partial Differential Equations , vol.18 , pp. 265-279
    • Dal Passo, R.1
  • 24
    • 0003532178 scopus 로고
    • Measure theory and fine properties of functions
    • CRC Press
    • L. C. Evans - R. F. Gariepy, “Measure Theory and Fine Properties of Functions”, Studies in Advanced Math., CRC Press, 1992.
    • (1992) Studies in Advanced Math
    • Evans, L.C.1    Gariepy, R.F.2
  • 26
    • 0020765250 scopus 로고
    • Dual space of stress and strains with application to Hencky plasticity
    • R. Kohn - R. Temam, Dual space of stress and strains with application to Hencky plasticity, Appl. Math. Optim. 10 (1983), 1-35.
    • (1983) Appl. Math. Optim. , vol.10 , pp. 1-35
    • Kohn, R.1    Temam, R.2
  • 27
    • 84956238079 scopus 로고
    • First order quasilinear equations in several independent variables
    • S. N. Kruzhkov, First order quasilinear equations in several independent variables, Math. USSR-Sb. 10 (1970), 217-243.
    • (1970) Math. USSR-Sb. , vol.10 , pp. 217-243
    • Kruzhkov, S.N.1
  • 28
    • 0002864885 scopus 로고
    • Quelques resultats de Visik sur les problemes elliptiques semi-lineaires par les metode de Minty et Browder
    • J. Leray - J. L. Lions, Quelques resultats de Visik sur les problemes elliptiques semi-lineaires par les metode de Minty et Browder, Bull. Soc. Math. France 93 (1965), 97-107.
    • (1965) Bull. Soc. Math. France , vol.93 , pp. 97-107
    • Leray, J.1    Lions, J.L.2
  • 29
    • 0009380981 scopus 로고
    • Free energy functionals at the high gradient limit
    • P. Rosenau, Free Energy Functionals at the High Gradient Limit, Phys. Rev. A 41 (1990), 2227-2230.
    • (1990) Phys. Rev. A , vol.41 , pp. 2227-2230
    • Rosenau, P.1
  • 30
    • 0004095766 scopus 로고
    • Weakly differentiable functions
    • Springer Verlag
    • W.P. Ziemer, “Weakly Differentiable Functions”, GTM 120, Springer Verlag, 1989.
    • (1989) GTM , vol.120
    • Ziemer, W.P.1


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