Geodesic
Uniform exponential dichotomy of parabolic operators with rapidly oscillating coefficients
Matematičeskie zametki, Tome 79 (2006) no. 5, pp. 729-735

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2006_79_5_a8,
     author = {V. B. Levenshtam},
     title = {Uniform exponential dichotomy of parabolic operators with rapidly oscillating coefficients},
     journal = {Matemati\v{c}eskie zametki},
     pages = {729--735},
     publisher = {mathdoc},
     volume = {79},
     number = {5},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_5_a8/}
}
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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/