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
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, 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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