Theorem on the central manifold of a nonlinear parabolic equation

@article{Belan1996TheoremOT,
  title={Theorem on the central manifold of a nonlinear parabolic equation},
  author={E. P. Belan and O. B. Lykova},
  journal={Ukrainian Mathematical Journal},
  year={1996},
  volume={48},
  pages={1153-1170}
}
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.