抄録
Weighted Strichartz estimates with homogeneous weights with critical exponents are proved for the wave equation without a support restriction on the forcing term. The method of proof is based on expansion by spherical harmonics and on the Sobolev space over the unit sphere, by which the required estimates are reduced to the radial case. As an application of the weighted Strichartz estimates, the existence and uniqueness of self-similar solutions to nonlinear wave equations are proved on up to five space dimensions.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 164-186 |
| ページ数 | 23 |
| ジャーナル | Communications on Pure and Applied Mathematics |
| 巻 | 60 |
| 号 | 2 |
| DOI | |
| 出版ステータス | Published - 2007 2月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学