| Abstract: |
| In this talk, we consider a Hamiltonian system combining a nonlinear Schr\ odinger equation (NLS) coupled to an ordinary differential equation (ODE).
This system is a simplified model of the NLS around soliton solutions.
Following Nakanishi, we show scattering of $L^2$ small $H^1$ radial solutions.
The proof is based on Nakanishi`s framework and Fermi Golden Rule estimates on $L^4$ in time norms. |
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