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Hokkaido University Preprint Series in Mathematics >
Global existence on nonlinear Schrödinger-IMBq equations
| Title: | Global existence on nonlinear Schrödinger-IMBq equations |
| Authors: | Cho, Yonggeun Browse this author | | Ozawa, Tohru Browse this author |
| Keywords: | Cauchy problem | | Schr odinger-IMBq equations | | global existence | | blowup criterion |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 744 |
| Start Page: | 1 |
| End Page: | 19 |
| Abstract: | In this paper, we consider the Cauchy problem of Schr\"{o}dinger-IMBq equations in $\mathbb{R}^n, n \ge 1$. We first show the global existence and blowup criterion of solutions in the energy space for the 3 and 4 dimensional system without power nonlinearity under suitable smallness assumption. Secondly the global existence is established to the system with $p$-powered nonlinearity in $H^s(\mathbb{R}^n), n = 1, 2$ for some $\frac n2 < s < \min(2,p)$ and some $p > \frac n2$. We also provide a blowup criterion for $n = 3$ in Triebel-Lizorkin space containing BMO space naturally. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69552 |
| 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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