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Theorem on the central manifold of a nonlinear parabolic equation

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.

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Bibliographic Details
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
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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