## Abstract

We construct multi-soliton solutions to the defocusing energy critical wave equation with potentials in \({\mathbb{R}^{3}}\) and study their asymptotic stability in the energy space based on both regular and reversed Strichartz estimates developed in [GC3]. We also study related scattering problems in the stable case. Since each soliton decays slowly with rate \({\frac{1}{\left\langle x\right\rangle }}\) , some refined estimates for the charge transfer model are also established.

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Communicated by W. Schlag

This work is part of the author’s Ph.D. thesis at the University of Chicago.

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Chen, G. Multisolitons for the Defocusing Energy Critical Wave Equation with Potentials.
*Commun. Math. Phys.* **364**, 45–82 (2018). https://doi.org/10.1007/s00220-018-3170-4

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DOI: https://doi.org/10.1007/s00220-018-3170-4