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arXiv · 1012.0446

Normal Form for the Schr\"odinger equation with analytic non--linearities

M. Procesi·C. Procesi
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Abstract

In this paper we discuss a class of normal forms of the completely resonant non--linear Schr\"odinger equation on a torus. We stress the geometric and combinatorial constructions arising from this study. Further analytic considerations and applications to quasi--periodic solutions will appear in a forthcoming article. This paper replaces a previous version correcting some mistakes.

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M. Procesi, C. Procesi. 2010-12-02. Normal Form for the Schr\"odinger equation with analytic non--linearities. https://doi.org/10.1007/s00220-012-1483-2

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