Normal Forms and Long Time Existence for Semi-Linear Klein-Gordon Equations
Delort, Jean-Marc
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 1-23 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

Publié le : 2007-02-01
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Delort, Jean-Marc. Normal Forms and Long Time Existence for Semi-Linear Klein-Gordon Equations. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 1-23. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_1_1_0/

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