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Volume 14,     Number 2,     Summer 2006

 

REITERATED HOMOGENIZATION OF SOME
LINEAR AND NONLINEAR MONOTONE
PARABOLIC OPERATORS
LISELOTT FLODÉN AND MARIANNE OLSSON

Dedicated to Professors Jack W. Macki and James S. Muldowney

Abstract. This paper concerns the reiterated homogenization of monotone parabolic problems of the form ∂tuε - ∇.a(x/ε, x/ε2, t/εγ, ∇uε )=f. We prove that under certain assumptions on a, there exists a G-limit b, which is also characterized by means of homogenization for 0 < r < 3, where three different cases are distinguished.

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© 2006, Canadian Applied Mathematics Quarterly (CAMQ)