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

Yoshinori Nishii; Hideaki Sunagawa

doi:10.1142/S0219891620500125

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

Analysis of PDEs 2020-11-11 v3

Authors: Yoshinori Nishii , Hideaki Sunagawa

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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 $t\to +\infty$ .

Keywords

semilinear wave equations agemi-type condition small amplitude solutions asymptotic freedom two space dimensions

Cite

@article{arxiv.1904.09083,
  title  = {On Agemi-type structural conditions for a system of semilinear wave equations},
  author = {Yoshinori Nishii and Hideaki Sunagawa},
  journal= {arXiv preprint arXiv:1904.09083},
  year   = {2020}
}

Comments

16 pages. The title has been changed

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