Geodesic
Normal Forms and Long Time Existence for Semi-Linear Klein-Gordon Equations
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 1, pp. 1-23.

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We present in this text two results of long time existence for solutions of nonlinear Klein-Gordon equations, obtained through normal forms methods. In particular, we indicate how these methods allow one to obtain almost global solutions for that equation on spheres, despite the fact that such solutions do not go to zero when time goes to infinity.
Presentiamo in questo testo due risultati di esistenza di lungo periodo per soluzioni di equazioni non lineari di Klein-Gordon, ottenuti mediante metodi di forme normali. In particolare indichiamo come questi metodi permettono di ottenere soluzioni quasi globali per tale equazione sulle sfere, a dispetto del fatto che tali soluzioni non tendono a zero quando il tempo tende ad infinito. 
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Delort, Jean-Marc. Normal Forms and Long Time Existence for Semi-Linear Klein-Gordon Equations. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 1, pp. 1-23. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_1_a0/

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