Well-posedness and scattering for the Zakharov system in four dimensions
- Bejenaru, Ioan
- Guo, Zihua
- Herr, Sebastian
- Nakanishi, Kenji
DOIAbstract
Bejenaru I, Guo Z, Herr S, Nakanishi K. Well-posedness and scattering for the Zakharov system in four dimensions. Analysis & PDE. 2015;8(8):2029-2055.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 are restricted to radially symmetric data
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