## Corrigendum to “Multi-travelling waves for the nonlinear Klein-Gordon equation”

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- by Raphaël Côte and Yvan Martel PDF
- Trans. Amer. Math. Soc.
**375**(2022), 3755-3757 Request permission

Original Article: Trans. Amer. Math. Soc.

**370**(2018), 7461-7487.

## Abstract:

We provide a correction to the proof of Proposition 3 by Côte and Martel [Trans. Amer. Math. Soc. 370 (2018), pp. 7461–7487]. We refer to Yuan [Nonlinearity 32 (2019), pp. 5017–5048] for a self-contained proof in the analogue context of the energy critical wave equation. We also refer to Chen and Jendrej [Trans. Amer. Math. Soc. 372 (2019), pp. 7461–7496] for an alternate proof.## References

- Gong Chen and Jacek Jendrej,
*Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein-Gordon equations*, Trans. Amer. Math. Soc.**372**(2019), no. 10, 7461–7496. MR**4024558**, DOI 10.1090/tran/7923 - Raphaël Côte and Yvan Martel,
*Multi-travelling waves for the nonlinear Klein-Gordon equation*, Trans. Amer. Math. Soc.**370**(2018), no. 10, 7461–7487. MR**3841855**, DOI 10.1090/tran/7303 - Xu Yuan,
*On multi-solitons for the energy-critical wave equation in dimension 5*, Nonlinearity**32**(2019), no. 12, 5017–5048. MR**4030602**, DOI 10.1088/1361-6544/ab46ec

## Additional Information

**Raphaël Côte**- Affiliation: Université de Strasbourg, CNRS, IRMA UMR 7501, F-67000 Strasbourg, France
- Email: cote@math.unistra.fr
**Yvan Martel**- Affiliation: CMLS, École polytechnique, CNRS, Institut Polytechnique de Paris, 91128 Palaiseau Cedex, France
- MR Author ID: 367956
- Email: yvan.martel@polytechnique.edu
- Received by editor(s): January 12, 2021
- Published electronically: February 9, 2022
- © Copyright 2021 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**375**(2022), 3755-3757 - MSC (2020): Primary 35Q51; Secondary 35L71, 35Q40
- DOI: https://doi.org/10.1090/tran/8480
- MathSciNet review: 4402675