Ukrainian Mathematical Journal

, Volume 48, Issue 8, pp 1153–1170 | Cite as

Theorem on the central manifold of a nonlinear parabolic equation

  • E. P. Belan
  • O. B. Lykova


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.


Parabolic Equation Real Axis Invariant Manifold Unique Fixed Point Zero Solution 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • E. P. Belan
    • 1
  • O. B. Lykova
    • 2
  1. 1.Simferopol UniversitySimferopol
  2. 2.Institute of MathematicsUkrainian Academy of SciencesKiev

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