On Agemi-type structural conditions for a system of semilinear wave equations (1904.09083v3)

Abstract: 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 $t\to +\infty$.