On Agemi-type structural conditions for a system of semilinear wave equations

We consider a two-component system of cubic semilinear wave equations in two space dimensions satisfying the Agemi-type structural condition (Ag) but violating (Ag$_0$) and (Ag$_+$). For this system, we show that small amplitude solutions are asymptotically free as $t\to +\infty$.

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