抄録
We consider the Cauchy problem for quadratic nonlinear Klein-Gordon systems in two space dimensions with masses satisfying the resonance relation. Under the null condition in the sense of J.-M. Delort, D. Fang, and R. Xue (J. Funct. Anal. 211 (2004), no. 2, 288-323), we show the global existence of asymptotically free solutions if the initial data are sufficiently small in some weighted Sobolev space. Our proof is based on an algebraic characterization of nonlinearities satisfying the null condition.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 1285-1302 |
| ページ数 | 18 |
| ジャーナル | Communications on Pure and Applied Mathematics |
| 巻 | 65 |
| 号 | 9 |
| DOI | |
| 出版ステータス | Published - 2012 9月 |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学