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Comptes Rendus Mathematique
Volumn 337, Issue 5, 2003, Pages 331-336
Asymptotic behavior for doubly degenerate parabolic equations;Comportement asymptotique des équations paraboliques doublement dégénérées
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Indexed keywords

EID: 0141682220     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00352-2     Document Type: Article
Times cited : (20)
References (8)
  • 1
    • 85031058403 scopus 로고    scopus 로고
    • Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory, Preprint
    • M. Agueh, Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory, Preprint, 2002.
    • (2002)
    • Agueh, M.1
  • 2
    • 0141711500 scopus 로고    scopus 로고
    • Geometric inequalities via a general comparison principle for interacting gases
    • in press
    • M. Agueh, N. Ghoussoub, X. Kang, Geometric inequalities via a general comparison principle for interacting gases, GAFA (2003), in press.
    • (2003) GAFA
    • Agueh, M.1    Ghoussoub, N.2    Kang, X.3
  • 3
    • 18044401055 scopus 로고    scopus 로고
    • Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
    • J.A. Carrillo, A. Jüngel, P.A. Markowich, G. Toscani, A. Unterreiter, Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities, Monatsh. Math. 133 (1) (2001) 1-82.
    • (2001) Monatsh. Math. , vol.133 , Issue.1 , pp. 1-82
    • Carrillo, J.A.1    Jüngel, A.2    Markowich, P.A.3    Toscani, G.4    Unterreiter, A.5
  • 4
    • 4243885243 scopus 로고    scopus 로고
    • Inequalities for generalized entropy and optimal transportation
    • Proceedings of the Workshop: Mass Transportation Methods in Kinetic Theory and Hydrodynamics, in press
    • D. Cordero-Erausquin, W. Gangbo, C. Houdré, Inequalities for generalized entropy and optimal transportation, in: Proceedings of the Workshop: Mass Transportation Methods in Kinetic Theory and Hydrodynamics, in press.
    • Cordero-Erausquin, D.1    Gangbo, W.2    Houdré, C.3
  • 5
    • 0012721866 scopus 로고    scopus 로고
    • Nonlinear diffusion and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving p-Laplacian
    • M. Del Pino, J. Dolbeault, Nonlinear diffusion and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving p-Laplacian, C. R. Math. Acad. Sci. Paris, Ser. I 334 (5) (2002) 365-370.
    • (2002) C. R. Math. Acad. Sci. Paris, Ser. I , vol.334 , Issue.5 , pp. 365-370
    • Del Pino, M.1    Dolbeault, J.2
  • 6
    • 0000576544 scopus 로고
    • Fundamental solutions and asymptotic behaviour for the p-Laplacian equation
    • S. Kamin, J.L. Vázquez, Fundamental solutions and asymptotic behaviour for the p-Laplacian equation, Rev. Mat. Iberoamericana 4 (2) (1988) 339-354.
    • (1988) Rev. Mat. Iberoamericana , vol.4 , Issue.2 , pp. 339-354
    • Kamin, S.1    Vázquez, J.L.2
  • 7
    • 0001560970 scopus 로고    scopus 로고
    • The geometry of dissipative evolution equation: The porous medium equation
    • F. Otto, The geometry of dissipative evolution equation: the porous medium equation, Comm. Partial Differential Equations 26 (1-2) (2001) 101-174.
    • (2001) Comm. Partial Differential Equations , vol.26 , Issue.1-2 , pp. 101-174
    • Otto, F.1
  • 8
    • 0001559554 scopus 로고    scopus 로고
    • Generalization of an inequality by Talagrand, and links with the logarithmic Sobolev inequality
    • F. Otto, C. Villani, Generalization of an inequality by Talagrand, and links with the logarithmic Sobolev inequality, J. Funct. Anal. 173 (2) (2000) 361-400.
    • (2000) J. Funct. Anal. , vol.173 , Issue.2 , pp. 361-400
    • Otto, F.1    Villani, C.2

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