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Hokkaido University Preprint Series in Mathematics >
Mixed amplitude solutions of semilinear systems of 3-dimensional wave equations
| Title: | Mixed amplitude solutions of semilinear systems of 3-dimensional wave equations |
| Authors: | Takamura, Hiroyuki Browse this author |
| Keywords: | semilinear wave equation | | classical solution | | global existence | | blow-up |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 689 |
| Start Page: | 1 |
| End Page: | 15 |
| Abstract: | In this paper we study a global in time existence of classical so- lutions of semilinear systems of 3-dim. wave equations. We see that one component of the global in time solution can be arbitrarily large if another component is small enough according to some balance of each amplitude. Also its sharpness is discussed. This is a speci c nature of strongly coupled systems. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69494 |
| 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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