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math.AP2017★ 11 cited
Stable and unstable time quasi periodic solutions for a system of coupled NLS equations
Benoît Grébert, Victor Vilaça da Rocha
We prove that a system of coupled nonlinear Schr{ö}dinger equations on the torus exhibits both stable and unstable small KAM tori. In particular the unstable tori are related to a…
math.AP2017
Growth of Sobolev norms for abstract linear Schrödinger Equations
Dario Bambusi, Benoit Grébert, Alberto Maspero +1
We prove an abstract theorem giving a bound () on the growth of the Sobolev norms in linear Schrödinger equations of the form $i \dot ψ= H_0 ψ+ V(…