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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...