Geodesic
Space-Time Resonances and the Null Condition for Wave Equations
Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 513-529.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this note we describe a recent result obtained by the author and Shatah [26], concerning global existence and scattering for small solutions of nonlinear wave equations. Based on the analysis of space-time resonances, we formulate a very natural non-resonance condition for quadratic nonlinearities that guarantees the existence of global solutions with linear asymptotic behavior. This non-resonance condition turns out to be a generalization of the null condition given by Klainerman in his seminal work [21]. 
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Pusateri, Fabio. Space-Time Resonances and the Null Condition for Wave Equations. Bollettino della Unione matematica italiana, Série 9, Tome 6 (2013) no. 3, pp. 513-529. http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a1/

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