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Theorem on the central manifold of a nonlinear parabolic equation

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Abstract

Under certain assumptions, we prove the existence of anm-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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Authors and Affiliations

  1. Simferopol University, Simferopol

    E. P. Belan

  2. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    O. B. Lykova

Authors
  1. E. P. Belan
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  2. O. B. Lykova
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Belan, E.P., Lykova, O.B. Theorem on the central manifold of a nonlinear parabolic equation. Ukr Math J 48, 1153–1170 (1996). https://doi.org/10.1007/BF02383863

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  • DOI: https://doi.org/10.1007/BF02383863

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