Homogenization of a nonlinear degenerate parabolic differential equation.
Nandakumaran, A. K., Rajesh, M. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nandakumaran, A. K., Rajesh, M. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nguetseng, Gabriel, Svanstedt, Nils (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Nguetseng, G., Nnang, H., Svanstedt, N. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Nguetseng, Gabriel, Nnang, Hubert (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Nguetseng, Gabriel, Woukeng, Jean Louis (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bögelein, Verena (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Wojciech Zajączkowski (1996)
Banach Center Publications
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Existence of weak solutions and an -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The -estimate is proved for equations with coefficients continuous with respect to x and t in the general main part, and for diagonal systems with coefficients satisfying the Carathéodory condition.
Sheng, Qin (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bychowska, A. (2002)
Georgian Mathematical Journal
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Wojciech Zajączkowski (1996)
Banach Center Publications
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We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The -estimates are obtained by the Di Benedetto methods.
Liu, Changchun (2005)
Boletín de la Asociación Matemática Venezolana
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J. I. Díaz (2001)
Extracta Mathematicae
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Konyagin, Sergei V. (2007)
Banach Journal of Mathematical Analysis [electronic only]
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