A mixed semilinear parabolic problem from combustion theory.
Lederman, Claudia, Vazquez, Juan Luis, Wolanski, Noemi (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lederman, Claudia, Vazquez, Juan Luis, Wolanski, Noemi (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Maria Neuss-Radu (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order in the energy norm.
Manfredi, Juan J., Vespri, Vincenzo (1994)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lieberman, Gary M. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Palagachev, Dian K., Popivanov, Peter R. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gawinecki, J. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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Montefusco, Eugenio (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ren, Xiaofeng (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Allegretto, Walter, Siegel, David (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ko, Youngsang (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Domenico Mucci (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study the lower semicontinuous envelope with respect to the -topology of a class of isotropic functionals with linear growth defined on mappings from the -dimensional ball into that are constrained to take values into a smooth submanifold of .
Caffarelli, Luis A., Karp, Lavi, Shahgholian, Henrik (2000)
Annals of Mathematics. Second Series
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