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Hokkaido University Preprint Series in Mathematics >
Dilation Method and smoothing Effect of Solutions to the Benjamin-ono Equation
| Title: | Dilation Method and smoothing Effect of Solutions to the Benjamin-ono Equation |
| Authors: | Hayashi, N. Browse this author | | Kato, K. Browse this author | | Ozawa, T. Browse this author |
| Issue Date: | 1-Jun-1994 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 247 |
| Start Page: | 2 |
| End Page: | 17 |
| Abstract: | 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 |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68998 |
| 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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