Well-posedness and scattering for the Zakharov system in four dimensions
Bejenaru I, Guo Z, Herr S, Nakanishi K (2015)
Analysis & PDE 8(8): 2029-2055.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Bejenaru, Ioan;
Guo, Zihua;
Herr, SebastianUniBi ;
Nakanishi, Kenji
Einrichtung
Abstract / Bemerkung
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.
Stichworte
nonlinear wave equation;
nonlinear Schrodinger equation;
Zakharov;
system;
well-posedness;
scattering
Erscheinungsjahr
2015
Zeitschriftentitel
Analysis & PDE
Band
8
Ausgabe
8
Seite(n)
2029-2055
eISSN
1948-206X
Page URI
https://pub.uni-bielefeld.de/record/2904705
Zitieren
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.
Bejenaru, I., Guo, Z., Herr, S., & Nakanishi, K. (2015). Well-posedness and scattering for the Zakharov system in four dimensions. Analysis & PDE, 8(8), 2029-2055. doi:10.2140/apde.2015.8.2029
Bejenaru, Ioan, Guo, Zihua, Herr, Sebastian, and Nakanishi, Kenji. 2015. “Well-posedness and scattering for the Zakharov system in four dimensions”. Analysis & PDE 8 (8): 2029-2055.
Bejenaru, I., Guo, Z., Herr, S., and Nakanishi, K. (2015). Well-posedness and scattering for the Zakharov system in four dimensions. Analysis & PDE 8, 2029-2055.
Bejenaru, I., et al., 2015. Well-posedness and scattering for the Zakharov system in four dimensions. Analysis & PDE, 8(8), p 2029-2055.
I. Bejenaru, et al., “Well-posedness and scattering for the Zakharov system in four dimensions”, Analysis & PDE, vol. 8, 2015, pp. 2029-2055.
Bejenaru, I., Guo, Z., Herr, S., Nakanishi, K.: Well-posedness and scattering for the Zakharov system in four dimensions. Analysis & PDE. 8, 2029-2055 (2015).
Bejenaru, Ioan, Guo, Zihua, Herr, Sebastian, and Nakanishi, Kenji. “Well-posedness and scattering for the Zakharov system in four dimensions”. Analysis & PDE 8.8 (2015): 2029-2055.
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arXiv: 1504.01073
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