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A blow-up result for the periodic Camassa-Holm equation

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Abstract.

We present a blow-up criterion for the periodic Camassa-Holm equation. The condition obtained for blow-up uses two of the conservation laws associated with the equation and improves upon some recent results.

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Authors and Affiliations

  1. Department of Mathematics, Lund University, P.O. Box 118, 22100, Lund, Sweden

    Erik Wahlén

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  1. Erik Wahlén
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Correspondence to Erik Wahlén.

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Received: 18 June 2004

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Wahlén, E. A blow-up result for the periodic Camassa-Holm equation. Arch. Math. 84, 334–340 (2005). https://doi.org/10.1007/s00013-004-1199-4

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  • DOI: https://doi.org/10.1007/s00013-004-1199-4

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