UC San Diego
Well-posedness and scattering for the Zakharov system in four dimensions
- Author(s): Bejenaru, I
- Guo, Z
- Herr, S
- Nakanishi, K
- et al.
Published Web Locationhttps://doi.org/10.2140/apde.2015.8.2029
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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