arXiv:1109.5662 Abstract | arXiv Analytics

arXiv:1109.5662 [math.AP]Abstract References Reviews Resources

Space-Time resonances and the null condition for (first order) systems of wave equations

Published 2011-09-26, updated 2012-06-15Version 2

In this manuscript we prove global existence and linear asymptotic behavior of small solutions to nonlinear wave equations. We assume that the quadratic part of the nonlinearity satisfies a non-resonant condition which is a generalization of the null condition given by Klainerman.

Comments: v2: Revised introduction and presentation. Extended bibliography

Categories: math.AP

Subjects: 35L05, 35B34

Keywords: null condition, first order, space-time resonances, linear asymptotic behavior, nonlinear wave equations

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