Homogenization of a boundary condition for the heat equation

Jan Filo and Stephan Luckhaus

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Submission date: 12. Mar. 1999
Pages: 44
published in: Journal of the European Mathematical Society, 2 (2000) 3, p. 217-258 
DOI number (of the published article): 10.1007/s100970000022
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Abstract:
The paper looks at the first order asymptotics for an almost periodiccally from Dirichlet to Neumann conditions changing heat equation with a scaling going to zero.The proof of the final homogenization result uses a blow up technique and a suitable uniqueness result for Laplace's equation in half space.