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