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Weighted Strichartz estimates for the wave equation in even space dimensions
| Title: | Weighted Strichartz estimates for the wave equation in even space dimensions |
| Authors: | Kato, Jun Browse this author | | Ozawa, Tohru Browse this author |
| Issue Date: | 2003 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 603 |
| Start Page: | 1 |
| End Page: | 20 |
| Abstract: | We prove the weighted Strichartz estimates for the wave equation in even space dimensions with radial symmetry in space. Although the odd space dimensional cases have been treated in our previous paper [4], the lack of the Huygens principle prevents us from a similar treatment in even space dimensions. The proof is based on the two explicit representations of solutions due to Rammaha [10] and Takamura [13] and to Kubo-Kubota [5]. As in the odd space dimensional cases [4], we are also able to construct self-similar solutions to semilinear wave equations on the basis of the weighted Strichartz estimates. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69352 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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