Homogenization of a boundary condition for the heat equation |
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| Authors: | Ján Filo Stephan Luckhaus |
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| Institution: | Institute of Applied Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia, SV
Institut für Mathematik der Universit?t Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany, DE
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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.
Received August 20, 1999 / final version received March 1, 2000?Published online June 21, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 35K20 35C20 35B27 |
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