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On the asymptotic behavior of nonlinear waves in the presence of a short-range potential
| Title: | On the asymptotic behavior of nonlinear waves in the presence of a short-range potential |
| Authors: | Karageorgis, Paschalis Browse this author | | Tsutaya, Kimitoshi Browse this author |
| Keywords: | Wave equation | | Potential | | Scattering |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 770 |
| Start Page: | 1 |
| End Page: | 20 |
| Abstract: | Consider the nonlinear wave equation with zero mass and a time-independent otential in three space dimensions. When it comes to the associated Cauchy problem, it s already known that short-range potentials do not a®ect the existence of small-amplitude olutions. In this paper, we focus on the associated scattering problem and we show that he situation is quite di®erent there. In particular, we show that even arbitrarily small and apidly decaying potentials may a®ect the asymptotic behavior of solutions. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69578 |
| 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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