Geodesic
Uniform exponential dichotomy of parabolic operators with rapidly oscillating coefficients
Matematičeskie zametki, Tome 79 (2006) no. 5, pp. 729-735 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper deals with averaging problems for parabolic equations. We prove that exponential dichotomy is preserved without any assumption concerning the almost-periodicity of the coefficients. 
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V. B. Levenshtam. Uniform exponential dichotomy of parabolic operators with rapidly oscillating coefficients. Matematičeskie zametki, Tome 79 (2006) no. 5, pp. 729-735. http://geodesic.mathdoc.fr/item/MZM_2006_79_5_a8/

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