On Nonlinear Profile Decompositions and Scattering for an NLS–ODE Model

Scipio Cuccagna, Masaya Maeda

Type: Article

Publication Date: 2018-07-14

Citations: 1

DOI: https://doi.org/10.1093/imrn/rny173

Abstract

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 [33], 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.

Locations

International Mathematics Research Notices - View
arXiv (Cornell University) - View - PDF

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