Smooth Linearization for a Saddle on Banach Spaces

نویسندگان

  • HILDEBRANDO M. RODRIGUES
  • J. SOLÀ-MORALES
چکیده

As a continuation of a previous work on linearization of class C of diffeomorphisms and flows in infinite dimensions near a fixed point, in this work we deal with the case of a saddle point with some non-resonance restrictions for the linear part. Our result can be seen as an extension of results by P. Hartman [2] and Aronson, Belitskii and Zhuzhoma [1] in dimension two. We also present an application to a system of nonlinear wave equations.

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تاریخ انتشار 2007