抄録
The work is devoted to the proof of a new L∞-L weighted estimate for the solution to the nonhomogeneous wave equation in (3 + l)-dimensional space-time. The weighted Sobolev spaces are associated with the generators of the Poincarégroup. The estimate obtained is applied to prove the global existence of a solution to a nonlinear system of wave and Klein-Gordon equations with small initial data.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 393-402 |
| ページ数 | 10 |
| ジャーナル | Proceedings of the American Mathematical Society |
| 巻 | 112 |
| 号 | 2 |
| DOI | |
| 出版ステータス | Published - 1991 6月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学