Geodesic
Homogenization of a boundary condition for the heat equation
Journal of the European Mathematical Society, Tome 2 (2000) no. 3, pp. 217-258

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Abstract. An asymptotic analysis is given for the heat equation with mixed boundary conditions rapidly oscillating between Dirichlet and Neumann type. We try to present a general framework where deterministic homogenization methods can be applied to calculate the second term in the asymptotic expansion with respect to the small parameter characterizing the oscillations.
DOI : 10.1007/s100970000022
Classification : 35-XX, 00-XX
Keywords: 
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     author = {J\'an Filo and Stephan Luckhaus},
     title = {Homogenization of a boundary condition for the heat equation},
     journal = {Journal of the European Mathematical Society},
     pages = {217--258},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {2000},
     doi = {10.1007/s100970000022},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s100970000022/}
}
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Ján Filo; Stephan Luckhaus. Homogenization of a boundary condition for the heat equation. Journal of the European Mathematical Society, Tome 2 (2000) no. 3, pp. 217-258. doi: 10.1007/s100970000022

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