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.
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Ján Filo, Stephan Luckhaus, Homogenization of a boundary condition for the heat equation. J. Eur. Math. Soc. 2 (2000), no. 3, pp. 217–258DOI 10.1007/S100970000022