Abstract.
We prove that on the Sobolev spaces \( H^N_0 \) (N≥ 0) of 1-periodic functions in \( H^N_{loc} ({\Bbb R}) \) with average 0, the Korteweg-deVries equation (KdV) admits global Birkhoff coordinates.
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Submitted 31/07/00, accepted 25/06/01
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Kappeler, T., Makarov, M. On Birkhoff Coordinates for KdV. Ann. Henri Poincaré 2, 807–856 (2001). https://doi.org/10.1007/s00023-001-8595-0
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DOI: https://doi.org/10.1007/s00023-001-8595-0