97-148 Latushkin Y.
A remark on invariant manifolds: the optimal gap condition (56K, AMS-LaTeX) Mar 25, 97
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Abstract. We give optimal gap conditions on Lipschitz constant of the nonlinear term and growth bounds of the linear term that imply the existence of Lipschitz invariant manifolds for semilinear equations on Banach spaces. This result improves recent theorems by C.~Foias and by N.~Casta\~{n}eda and R.~Rosa.

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