Homogenization of a boundary condition for the heat equation
Jan Filo and Stephan Luckhaus
Contact the author: Please use for correspondence this email.
Submission date: 12. Mar. 1999
published in: Journal of the European Mathematical Society, 2 (2000) 3, p. 217-258
DOI number (of the published article): 10.1007/s100970000022
Download full preprint: PDF (512 kB), PS ziped (231 kB)
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.