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. 
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     author = {Delort, Jean-Marc},
     title = {Normal {Forms} and {Long} {Time} {Existence} for {Semi-Linear} {Klein-Gordon} {Equations}},
     journal = {Bollettino della Unione matematica italiana},
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     zbl = {1178.35310},
     mrnumber = {2310955},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_1_a0/}
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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/