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

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

2011-09-26

arxiv.org/abs/1109.5662v1

Mathematics

Analysis of PDEs

Scientific paper

In this manuscript we prove global existence and 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.

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