MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Homogenization of a boundary condition for the heat equation

Jan Filo and Stephan Luckhaus


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.


Related publications

2000 Repository Open Access
Ján Filo and Stephan Luckhaus

Homogenization of a boundary condition for the heat equation

In: Journal of the European Mathematical Society, 2 (2000) 3, pp. 217-258