Theorem on the central manifold of a nonlinear parabolic equation

• Date: 1996
• Main Authors: Belan, E. P., Lykova, O. B., Белан, Е. П., Лыкова, О. Б.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5246
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Under certain assumptions, we prove the existence of an m-parameter family of solutions that form the central invariant manifold of a nonlinear parabolic equation. For this purpose, we use an abstract scheme that corresponds to energy methods for strongly parabolic equations of arbitrary order.