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]. 
@article{BUMI_2013_9_6_3_a1,
     author = {Pusateri, Fabio},
     title = {Space-Time {Resonances} and the {Null} {Condition} for {Wave} {Equations}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {513--529},
     publisher = {mathdoc},
     volume = {Ser. 9, 6},
     number = {3},
     year = {2013},
     mrnumber = {3202837},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a1/}
}
TY  - JOUR
AU  - Pusateri, Fabio
TI  - Space-Time Resonances and the Null Condition for Wave Equations
JO  - Bollettino della Unione matematica italiana
PY  - 2013
SP  - 513
EP  - 529
VL  - 6
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a1/
LA  - en
ID  - BUMI_2013_9_6_3_a1
ER  - 
%0 Journal Article
%A Pusateri, Fabio
%T Space-Time Resonances and the Null Condition for Wave Equations
%J Bollettino della Unione matematica italiana
%D 2013
%P 513-529
%V 6
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2013_9_6_3_a1/
%G en
%F BUMI_2013_9_6_3_a1
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/