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

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 $t\to +\infty$.

16 pages. The title has been changed