Abstract
In this paper we study the homogenization of degenerate quasilinear parabolic equations:
where a(t, y, α, λ) is periodic in (t, y).
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Bensoussan, B., Lions, J.L., Papanicolaou, G. Asymptotic analysis for periodic structures. North-Holland, Amsterdam, 1978
De Arcangelis, R., Cassano, F.S. On the homogenization of degenerate elliptic equations in divergence form. J. Math. Pures. Appl. 71(2):119–138 (1992)
Fisher, B., Liu, Z. On the solvability of double degenerate quasilinear parabolic equations. Acta Math. Hungar., 96(1-2):117–124 (2002)
Franchi, B. Maria Carla Tesi homogenization for strongly anisotropic nonlinear elliptic equations. Nonlinear Diff. Equ. Appl., 8(3):363–387 (2001)
Jian, H. On the homogenization of degenerate parabolic equations. Acta Math. Appl. Sinica, 16(1):100–110 (2000)
Ladyzhenskaya, O.A. Solonnikov,V.A., Uralceva, N.N. Linear and quasilinear equations of parabolic type. A.M.S Providence, 1968
Liu, Z. On the Solvability of degenerate quasilinear parabolic equations of second order. Acta Math. Sinica (English Series), 16(2):313–324 (2000)
Zhang, X. Two-scale convergence and homogenization of a class of quasilinear parabolic equations. Acta Math. Appl. Sinica, 19(3):431–444 (1996) (in Chinese)
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Supported by the Key Teachers Foundation of Chongqing University (No.2003018) and the Key Teachers Foundation of Universities in Chongqing (No.20020126)
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Zhang, Xy., Huang, Y. Homogenization for Degenerate Quasilinear Parabolic Equations of Second Order. Acta Mathematicae Applicatae Sinica, English Series 21, 93–100 (2005). https://doi.org/10.1007/s10255-005-0219-x
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DOI: https://doi.org/10.1007/s10255-005-0219-x