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Displaying similar documents to “Heat content asymptotics for operators to Laplace type with Neumann boundary conditions.”

Homogenization of a boundary condition for the heat equation

Ján Filo, Stephan Luckhaus (2000)

Journal of the European Mathematical Society

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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.