抜粋
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.
| 元の言語 | 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 |
| 発行部数 | 2 |
| DOI | |
| 出版物ステータス | Published - 2007 2 1 |
| 外部発表 | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics