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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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