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

@article{Bejenaru2015WellposednessAS,
  title={Well-posedness and scattering for the Zakharov system in four dimensions},
  author={Ioan Bejenaru and Zihua Guo and Sebastian Herr and Kenji Nakanishi},
  journal={arXiv: Analysis of PDEs},
  year={2015}
}
The Cauchy problem for the Zakharov system in four dimensions is considered. Some new well-posedness 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 is restricted to radially symmetric data. 
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15 Citations
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15 Citations

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References

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