Integral manifolds and exponential splitting of linear parabolic equations with rapidly varying coefficients

We study linear parabolic equations with rapidly varying coefficients. It is assumed that the averaged equation corresponding to the source equation admits exponential splitting. We establish conditions under which the source equation also admits exponential splitting. It is shown that integral mani...

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Bibliographic Details
Date:1995
Main Authors: Belan, E. P., Lykova, O. B., Бєлан, Є. П., Ликова, О. Б.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1995
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5553
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal