# American Institute of Mathematical Sciences

March  2017, 37(3): 1201-1226. doi: 10.3934/dcds.2017050

## Strichartz estimates for charge transfer models

 Department of Mathematics, The University of Chicago, 5734 South University Avenue, Chicago, IL 60615, USA

Received  October 2015 Revised  November 2016 Published  December 2016

In this note, we prove Strichartz estimates for scattering states of scalar charge transfer models in $\mathbb{R}^{3}$. Following the idea of Strichartz estimates based on [3,10], we also show that the energy of the whole evolution is bounded independently of time without using the phase space method, as for example, in [5]. One can easily generalize our arguments to $\mathbb{R}^{n}$ for $n≥q3$. We also discuss the extension of these results to matrix charge transfer models in $\mathbb{R}^{3}$.

Citation: Gong Chen. Strichartz estimates for charge transfer models. Discrete & Continuous Dynamical Systems, 2017, 37 (3) : 1201-1226. doi: 10.3934/dcds.2017050
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