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Remarks on the Korteweg-de Vries equation

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Abstract

We show for the Korteweg-de Vries equation an existence uniqueness theorem in Sobolev spaces of arbitrary fractional orders≧2, provided the initial data is given in the same space.

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Authors and Affiliations

  1. U. E. R. de Mathématiques, Université de Paris VII, Paris, France

    J. C. Saut & R. Temam

  2. Département Mathématiques, Université de Paris-Sud, Orsay, France

    J. C. Saut & R. Temam

Authors
  1. J. C. Saut
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  2. R. Temam
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Saut, J.C., Temam, R. Remarks on the Korteweg-de Vries equation. Israel J. Math. 24, 78–87 (1976). https://doi.org/10.1007/BF02761431

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  • DOI: https://doi.org/10.1007/BF02761431

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