Space-Time resonances and the null condition for (first order) systems of wave equations
classification
🧮 math.AP
keywords
conditionequationsnullwaveassumeasymptoticbehaviorexistence
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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.
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