Abstract.
In this paper we consider the periodic Cauchy problem for the Camassa-Holm equation with analytic initial data and prove that its solutions are analytic in both variables, globally in space and locally in time.
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Mathematics Subject Classification (1991): 35A10, 35Q53
Both authors were supported in part by the NSF Grant DMS-9970857
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Himonas, A., Misiołek, G. Analyticity of the Cauchy problem for an integrable evolution equation. Math. Ann. 327, 575–584 (2003). https://doi.org/10.1007/s00208-003-0466-1
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DOI: https://doi.org/10.1007/s00208-003-0466-1