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Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion

  • Received: 01 September 2019 Revised: 01 October 2019
  • Primary: 35B44, 35L05; Secondary: 37K10

  • In this paper, we consider the dissipative Degasperis-Procesi equation with arbitrary dispersion coefficient and compactly supported initial data. We establish the simple condition on the initial data which lead to guarantee that the solution exists globally. We also investigate the propagation speed for the equation under the initial data is compactly supported.

    Citation: Guenbo Hwang, Byungsoo Moon. Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion[J]. Electronic Research Archive, 2020, 28(1): 15-25. doi: 10.3934/era.2020002

    Related Papers:

  • In this paper, we consider the dissipative Degasperis-Procesi equation with arbitrary dispersion coefficient and compactly supported initial data. We establish the simple condition on the initial data which lead to guarantee that the solution exists globally. We also investigate the propagation speed for the equation under the initial data is compactly supported.



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