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On small energy
stabilization in the NLS with a trapping potential
Scipio Cuccagna and Masaya Maeda |
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Vol. 8 (2015), No. 6, 1289–1349
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DOI: 10.2140/apde.2015.8.1289
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Abstract |
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We describe the asymptotic behavior of small energy solutions of an NLS with a trapping potential, generalizing work of Soffer and Weinstein, and of Tsai and Yau. The novelty is that we allow generic spectra associated to the potential. This is a new application of the idea of interpreting the nonlinear Fermi golden rule as a consequence of the Hamiltonian structure. |
Keywords
nonlinear Schroedinger equation, asymptotic stability
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Mathematical Subject Classification 2010
Primary: 35Q55
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Milestones
Received: 3 September 2013
Revised: 11 January 2015
Accepted: 14 May 2015
Published: 5 September 2015
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Authors |
| Scipio Cuccagna | |
| Department of Mathematics and
Geosciences University of Trieste via Valerio 12/1 I-34127 Trieste Italy |
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| Masaya Maeda | |
| Department of Mathematics and
Informatics Chiba University Faculty of Science Chiba 263 8522 Japan |
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