We study the dynamics of a Hamiltonian PDE close to an elliptic equilibrium point. In particular we focus on the qualitative behaviour of solutions in the case where the linearization of the systems has continuous spectrum, showing that such a feature implies e dispersive behaviour of solutions
Asymptotic stability of solitary waves / D. Bambusi. ((Intervento presentato al convegno KAM theory and Geometric Integration tenutosi a Banff Center, Canada nel 2011.
Asymptotic stability of solitary waves
D. BambusiPrimo
2011
Abstract
We study the dynamics of a Hamiltonian PDE close to an elliptic equilibrium point. In particular we focus on the qualitative behaviour of solutions in the case where the linearization of the systems has continuous spectrum, showing that such a feature implies e dispersive behaviour of solutions
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