Smooth robustness of exponential dichotomies

Barreira, Luis; Valls, Claudia

doi:10.1090/S0002-9939-2010-10531-2

Smooth robustness of exponential dichotomies
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by Luis Barreira and Claudia Valls PDF

Proc. Amer. Math. Soc. 139 (2011), 999-1012 Request permission

Abstract:

For sufficiently small $C^1$-parameterized linear perturbations, we establish the robustness of exponential dichotomies in Banach spaces, with the optimal $C^1$ dependence of the stable and unstable subspaces on the parameter.

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