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Strichartz estimates for wave equations in the homogeneous Besov space
| Title: | Strichartz estimates for wave equations in the homogeneous Besov space |
| Authors: | Nakamura, M. Browse this author |
| Issue Date: | 1-Sep-1998 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 425 |
| Start Page: | 1 |
| End Page: | 17 |
| Abstract: | We prove Strichartz estimates for wave equations in the homogeneous Besov space. The main purpose in this paper is to present a unified way to derive Strichartz estimates given by Bak-McMichaelOberlin (1, Theorem 6'], Ginibre-Velo [3, Proposition 3.1], Harmse (5, Theorem 2.3] and Oberlin (10, Theorem 3]. Our argument proceeds under the abstract setting once we have used the stationary phase estimate for wave equations, and the main tool is the complex interpolation method, by which we shall obtain new Strichartz estimates. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69175 |
| 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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