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. Bambusi
Primo
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.
8-feb-2011
Settore MAT/07 - Fisica Matematica
Settore MAT/05 - Analisi Matematica
Asymptotic stability of solitons / D. Bambusi. ((Intervento presentato al convegno Workshop on dynamical systems and PDEs tenutosi a St. Etienne de Tinee nel 2011.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/162326
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