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Well-posedness and scattering for the Zakharov system in four dimensions

  • Author(s): Bejenaru, I
  • Guo, Z
  • Herr, S
  • Nakanishi, K
  • et al.
Abstract

The Cauchy problem for the Zakharov system in four dimensions is considered. Some new wellposedness results are obtained. For small initial data, global well-posedness and scattering results are proved, including the case of initial data in the energy space. None of these results are restricted to radially symmetric data.

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