Homogenization of a boundary condition for the heat equation
type: Item
instance of: scholarly article
title: Homogenization of a boundary condition for the heat equation
zbMATH Open document ID: 0961.35012
author: Ján Filo
author: Stephan Luckhaus
published in: Journal of the European Mathematical Society (JEMS)
publication date: 2001-05-15T00:00:00Z
review text: In a cylindric domain there is considered the equation \(\partial_t u_{\varepsilon} -\Delta u_{\varepsilon} =f_{\varepsilon}(x,t)\) together with mixed boundary conditions rapidly oscillating between Dirichlet and Neumann types. The authors study asymptotic behavior of \(u_{\varepsilon}\), including the effect of the Neumann conditions in the second-order term of the asymptotic expansion.
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1529496
zbMATH Keywords: boundary homogenization
zbMATH Keywords: mixed boundary conditions rapidly oscillating between Dirichlet and Neumann types
MaRDI profile type: Publication
full work available at URL: s100970000022
OpenAlex ID: W2062656747
DOI: 10.1007/S100970000022
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description: scientific article; zbMATH DE number 1529496