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.References
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Additional Information
- Luis Barreira
- Affiliation: Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugal
- MR Author ID: 601208
- Email: barreira@math.ist.utl.pt
- Claudia Valls
- Affiliation: Departamento de Matemática, Instituto Superior Técnico, 1049-001 Lisboa, Portugal
- MR Author ID: 636500
- Email: cvalls@math.ist.utl.pt
- Received by editor(s): March 19, 2010
- Received by editor(s) in revised form: March 26, 2010
- Published electronically: July 29, 2010
- Additional Notes: The first author was partially supported by FCT through CAMGSD, Lisbon
- Communicated by: Yingfei Yi
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 999-1012
- MSC (2010): Primary 34D09, 34D10, 37D99
- DOI: https://doi.org/10.1090/S0002-9939-2010-10531-2
- MathSciNet review: 2745651