抄録
We prove the endpoint Strichartz estimates for the Klein-Gordon equation in mixed norms on the polar coordinates in two space dimensions. As an application, similar endpoint estimates for the Schrödinger equation in two space dimensions are shown by using the non-relativistic limit. The existence of global solutions for the cubic nonlinear Klein-Gordon equation in two space dimensions for small data is also shown.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 48-71 |
| ページ数 | 24 |
| ジャーナル | Journal des Mathematiques Pures et Appliquees |
| 巻 | 95 |
| 号 | 1 |
| DOI | |
| 出版ステータス | Published - 2011 1 |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学