Global dynamics below excited solitons for the nonlinear Schrödinger equation with a potential
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- Nakanishi Kenji
- Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University
Bibliographic Information
- Other Title
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- Global dynamics below excited solitons for the nonlinear Schrodinger equation with a potential
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Abstract
<p>Consider the nonlinear Schrödinger equation (NLS) with a potential with a single negative eigenvalue. It has solitons with negative small energy, which are asymptotically stable, and, if the nonlinearity is focusing, then also solitons with positive large energy, which are unstable. In this paper we classify the global dynamics below the second lowest energy of solitons under small mass and radial symmetry constraints.</p>
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 69 (4), 1353-1401, 2017
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390001205114921216
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- NII Article ID
- 130006887121
- 40021350610
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 028590280
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed