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Abstract

In this poster, well-posedness in C^1(R) (a.k.a. classical solutions) for a generalized Camassa- Holm equation (g-kbCH) having (k + 1)-degree nonlinearities is explored. This result holds for the Camassa-Holm, the Degasperi-Procesi and the Novikov equations, which improves upon earlier results in Sobolev and Besov spaces.

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UNG_2015_Abstract_Thompson.pdf
18 Jul 2022
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18 Jul 2022
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Metadata

  • Subject
    • Mathematics

  • Date submitted

    18 July 2022

  • Keywords
  • Additional information
    • Author Biography:

      Ryan C. Thompson Ph.D. (Mathematics) University of Notre Dame