We consider a ground state (soliton) of NLS in dimension three. We prove that if the soliton is orbitally stable, then it is also asymptotically stable. The main assumptions are transversal nondegeneracy of the manifold of the ground states, linear dispersion (in the form of Strichartz estimates) and nonlinear Fermi Golden Rule.
Asymptotic stability of solitons / D. Bambusi. ((Intervento presentato al convegno Workshop on dynamical systems and PDEs tenutosi a St. Etienne de Tinee nel 2011.
Asymptotic stability of solitons
D. BambusiPrimo
2011
Abstract
We consider a ground state (soliton) of NLS in dimension three. We prove that if the soliton is orbitally stable, then it is also asymptotically stable. The main assumptions are transversal nondegeneracy of the manifold of the ground states, linear dispersion (in the form of Strichartz estimates) and nonlinear Fermi Golden Rule.File in questo prodotto:
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