Nonlinear instability of linearly unstable standing waves for nonlinear Schrodinger equations
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- Georgiev Vladimir
- Dipartimento di Matematica, Università degli Studi di Pisa
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- Ohta Masahito
- Department of Mathematics, Saitama University
書誌事項
- タイトル別名
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- Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
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We study the instability of standing waves for nonlinear Schrödinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimension. For that purpose, we establish a Strichartz type estimate for the propagator generated by the linearized operator around standing wave.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 64 (2), 533-548, 2012
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680093128448
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- NII論文ID
- 10030740334
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 023596786
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- CiNii Articles
- KAKEN
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- 使用不可