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Volumn 313, Issue 2, 1999, Pages 189-206

On the Cauchy problem for ut = Δ log u in higher dimensions

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EID: 0033484822     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080050257     Document Type: Article
Times cited : (26)

References (24)
  • 3
    • 0040330066 scopus 로고
    • Sur la théorie de l'equation integrodifferential de boltzmann
    • Carleman, T., Sur la Théorie de l'Equation Integrodifferential de Boltzmann, Acta Math. 60, 1933
    • (1933) Acta Math. , vol.60
    • Carleman, T.1
  • 4
    • 0040760839 scopus 로고
    • Some general properties of a class of semilinear hyperbolic systems analogous to the differential-integral equations of gas dynamics
    • Conner, H.E., Some General Properties of a Class of Semilinear Hyperbolic Systems Analogous to the Differential-Integral Equations of Gas Dynamics, J. Diff. Equ. 10 (1971), 188-203
    • (1971) J. Diff. Equ. , vol.10 , pp. 188-203
    • Conner, H.E.1
  • 6
    • 0039145747 scopus 로고
    • Examples os solution for semilinear elliptic equations
    • 1987
    • Cheng, K.S., Lin, T.J., Examples os Solution for Semilinear Elliptic Equations, Chinese J. of Math. 15, No 1 (1987), 43-59 (1987)
    • (1987) Chinese J. of Math. , vol.15 , Issue.1 , pp. 43-59
    • Cheng, K.S.1    Lin, T.J.2
  • 9
    • 0001235072 scopus 로고
    • On fast diffusion nonlinear heat equations and a related singular elliptic problem
    • Daskalopoulos, P., del Pino M., On fast diffusion nonlinear heat equations and a related singular elliptic problem, Indiana Univ. Math. J., 43 (1994), 703-728
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 703-728
    • Daskalopoulos, P.1    Del Pino, M.2
  • 10
    • 0031351679 scopus 로고    scopus 로고
    • On nonlinear parabolic equations of very fast diffusion
    • Daskalopoulos,P., del Pino M., On nonlinear parabolic equations of very fast diffusion, Arch. Rational Mech. Analysis, 137 (1997), 363-380
    • (1997) Arch. Rational Mech. Analysis , vol.137 , pp. 363-380
    • Daskalopoulos, P.1    Del Pino, M.2
  • 12
    • 0030540466 scopus 로고    scopus 로고
    • Some a-priori estimates for a singular evolution equation arising in thin film dynamics
    • Davis, S.H., DiBenedetto, E., Diller, D.,J., Some a-priori estimates for a singular evolution equation arising in thin film dynamics, SIAM J. on MAth. Anal., 27, No 3 (1996), 638-660
    • (1996) SIAM J. on Math. Anal. , vol.27 , Issue.3 , pp. 638-660
    • Davis, S.H.1    DiBenedetto, E.2    Diller, D.J.3
  • 14
    • 0000831794 scopus 로고
    • Spreading laws for microscopic droplets
    • de Gennes, P.G., Spreading laws for microscopic droplets, C.R. Acad. Sci., Paris II, 298 (1984), 475-478
    • (1984) C.R. Acad. Sci., Paris II , vol.298 , pp. 475-478
    • De Gennes, P.G.1
  • 15
    • 1842695585 scopus 로고
    • Wetting: Statics and dynamics
    • de Gennes, P.G., Wetting: statics and dynamics, Reviews of Modern Physics, 57 No 3 (1985), 827-863
    • (1985) Reviews of Modern Physics , vol.57 , Issue.3 , pp. 827-863
    • De Gennes, P.G.1
  • 17
    • 84972496750 scopus 로고
    • The Harnack estimate for the Ricci flow
    • Hamilton, R., The Harnack estimate for the Ricci flow, J. Differential Geometry 37 (1993), 225-243
    • (1993) J. Differential Geometry , vol.37 , pp. 225-243
    • Hamilton, R.1
  • 18
    • 38149146643 scopus 로고
    • t = Δ log u
    • t = Δ log u, J. Math. Anal. Appl. 182 (1994), no. 3, 800-809
    • (1994) J. Math. Anal. Appl. , vol.182 , Issue.3 , pp. 800-809
    • Hui, K.M.1
  • 19
    • 0027392257 scopus 로고
    • Self-similar behaviour for the equation of fast nonlinear diffusion
    • King, J.R., Self-similar behaviour for the equation of fast nonlinear diffusion, Phil. Trans. R. Soc. A 343, 1993 337-375
    • (1993) Phil. Trans. R. Soc. A , vol.343 , pp. 337-375
    • King, J.R.1
  • 21
    • 0000280163 scopus 로고
    • Nonexistence of solutions for nonlinear heat equations of fast-diffusion type
    • Vázquez, J.L., Nonexistence of solutions for nonlinear heat equations of fast-diffusion type J. Math. Pures Appl., 71 (1992), 503-526
    • (1992) J. Math. Pures Appl. , vol.71 , pp. 503-526
    • Vázquez, J.L.1
  • 22
    • 0000558104 scopus 로고    scopus 로고
    • The fast diffusion with logarithmic nonlinearity and the evolution of conformal metrics in the plane
    • Vázquez, J.L., Esteban, J.R., Rodriguez, R., The fast diffusion with logarithmic nonlinearity and the evolution of conformal metrics in the plane, Advances in Diff. Equations, 1, 1996
    • (1996) Advances in Diff. Equations , vol.1
    • Vázquez, J.L.1    Esteban, J.R.2    Rodriguez, R.3
  • 24
    • 84967780299 scopus 로고
    • A new result for the porous medium equation derived from the Ricci flow
    • Wu, L.-F., A new result for the porous medium equation derived from the Ricci flow, Bull. Amer. Math. Soc., 28 (1993), 90-94
    • (1993) Bull. Amer. Math. Soc. , vol.28 , pp. 90-94
    • Wu, L.-F.1


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