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

Author:

Nishii Yoshinori1,Sunagawa Hideaki1

Affiliation:

1. Department of Mathematics, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan

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 (Ag0) and (Ag[Formula: see text]). For this system, we show that small amplitude solutions are asymptotically free as [Formula: see text].

Funder

Scientific Research

MEXT Joint Usage/Research Center on Mathematics and Theoretical Physics

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

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