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.
Titolo: | On small energy stabilization in the NLS with a trapping potential |
Autori: | |
Data di pubblicazione: | 2015 |
Stato di pubblicazione: | Pubblicato |
Rivista: | |
Abstract: | 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. |
Handle: | http://hdl.handle.net/11368/2845813 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.2140/apde.2015.8.1289 |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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