Dilation Method and smoothing Effect of Solutions to the Benjamin-ono Equation
説明
In this paper we study smoothing effects of solutions to the Benjamin-Ono equation (BO) 8tu + u8zu + H8u = O, u(O) = </J, :z: E IR, (t,:z:) E IR X IR, where H is the Hilbert transform defined by (Hf)(z) == p.v.-1 / f--dy) y. We prove that if </J E H4 and (z8z )4</J, then the solution u of (BO) belongs to Lf:c(JR\{O};H8 •-4), where
収録刊行物
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 247 2-17, 1994-06-01
Department of Mathematics, Hokkaido University
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詳細情報 詳細情報について
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- CRID
- 1390853649725234432
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- NII論文ID
- 120006456562
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- DOI
- 10.14943/83394
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- HANDLE
- 2115/68998
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用可