Strichartz estimates for wave equations in the homogeneous Besov space

Nakamura, M.

Hokkaido University Preprint Series in Mathematics, 1998, 425, 1-17

Permalink : https://doi.org/10.14943/83571

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アクセス権	open access
DOI	https://doi.org/10.14943/83571
URI	https://hdl.handle.net/2115/69175
タイトル	Strichartz estimates for wave equations in the homogeneous Besov space
著者	著者名 Nakamura, M.
言語	英語
発行日	1998-09-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	425
ページ	1-17
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record