In this paper, we consider a Hamiltonian system combining a nonlinear Schrödinger equation (NLS) and an ordinary differential equation. This system is a simplified model of the NLS around soliton solutions. Following Nakanishi , we show scattering of L2 small H1 radial solutions. The proof is based on Nakanishi’s framework and Fermi Golden Rule estimates on L4 in time norms.
On Nonlinear Profile Decompositions and Scattering for an NLS–ODE Model
Scipio Cuccagna;
2020-01-01
Abstract
In this paper, we consider a Hamiltonian system combining a nonlinear Schrödinger equation (NLS) and an ordinary differential equation. This system is a simplified model of the NLS around soliton solutions. Following Nakanishi , we show scattering of L2 small H1 radial solutions. The proof is based on Nakanishi’s framework and Fermi Golden Rule estimates on L4 in time norms.File in questo prodotto:
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