Strichartz estimates for $N$-body Schrödinger operators with small potential interactions
Younghun Hong
Discrete & Continuous Dynamical Systems - A 2017, 37(10): 5355-5365 doi: 10.3934/dcds.2017233

In this paper, we prove Strichartz estimates for $N$-body Schrödinger operators, provided that interaction potentials are small enough. Our tools are new Strichartz estimates with frozen spatial variables, and its improvement in the $V_S^p$-norm of Koch and Tataru [19]. As an application, we prove scattering for $N$-body Schrödinger operators.

keywords: Many-body Schrödinger equation Strichartz estimates scattering

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