On the asymptotic behavior of nonlinear waves in the presence of a short-range potential
説明
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.
収録刊行物
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 770 1-20, 2006
Department of Mathematics, Hokkaido University
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詳細情報 詳細情報について
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- CRID
- 1390290699772074496
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- NII論文ID
- 120006459475
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- DOI
- 10.14943/83920
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- HANDLE
- 2115/69578
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用可
