Abstract
We prove local well-posedness for the Whitham equation in H s, \(s>\frac{3}{2}\), for both solitary and periodic initial data.
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For questions related to global existence questions, the difference between the periodic and non-periodic case might play a bigger role.
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The authors would like to thank the referee for valuable comments and suggestions that helped to improve the paper’s final form.
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Ehrnström, M., Escher, J., Pei, L. (2015). A Note on the Local Well-Posedness for the Whitham Equation. In: Escher, J., Schrohe, E., Seiler, J., Walker, C. (eds) Elliptic and Parabolic Equations. Springer Proceedings in Mathematics & Statistics, vol 119. Springer, Cham. https://doi.org/10.1007/978-3-319-12547-3_3
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DOI: https://doi.org/10.1007/978-3-319-12547-3_3
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