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

Autor: Nishii, Yoshinori, Sunagawa, Hideaki
Rok vydání: 2019
Předmět:
Zdroj: Journal of Hyperbolic Differential Equations, vol.17 (2020), no.3, p.459-473
Druh dokumentu: Working Paper
DOI: 10.1142/S0219891620500125
Popis: 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 $t\to +\infty$.
Comment: 16 pages. The title has been changed
Databáze: arXiv