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Well-posedness and scattering for the Zakharov system in four dimensions
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https://doi.org/10.2140/apde.2015.8.2029Abstract
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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