抜粋
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.
| 元の言語 | 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 |
| 発行部数 | 9 |
| DOI | |
| 出版物ステータス | Published - 2012 9 1 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
フィンガープリント A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Katayama, S., Ozawa, T., & Sunagawa, H. (2012). A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions. Communications on Pure and Applied Mathematics, 65(9), 1285-1302. https://doi.org/10.1002/cpa.21392