|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Asymptotic behaviors of radially symmetric solutions of □u = |u| p for super critical values p in even space dimensions
| Title: | Asymptotic behaviors of radially symmetric solutions of □u = |u| p for super critical values p in even space dimensions |
| Authors: | Kubo, H. Browse this author | | Kubota, K. Browse this author |
| Issue Date: | 1-Sep-1996 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 346 |
| Start Page: | 1 |
| End Page: | 66 |
| Abstract: | We study asymptotic behaviors as t -+ ±oo of solutions to the nonlinear wave equation Utt-Δu = |u|p (p > 1) in x E Rn , -∞ < t < ∞ for p larger than a critical value P0(n). These asymptotic behaviors guarantee the existence of the scattering operator. We prove the radially symmetric small solutions exist and are asymptotic to the solutions of the homogeneous wave equations, provided n >_ 5. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69096 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|
