The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$
Bejenaru I, Herr S (2016)
Communications in Mathematical Physics 343(2): 515-562.
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Autor*in
Bejenaru, Ioan;
Herr, SebastianUniBi 
Einrichtung
Abstract / Bemerkung
Global well-posedness and scattering for the cubic Dirac equation with small initial data in the critical space H-1/2 (R-2) is established. The proof is based on a sharp endpoint Strichartz estimate for the Klein-Gordon equation in dimension n = 2, which is captured by constructing an adapted systems of coordinate frames.
Erscheinungsjahr
2016
Zeitschriftentitel
Communications in Mathematical Physics
Band
343
Ausgabe
2
Seite(n)
515-562
ISSN
0010-3616
eISSN
1432-0916
Page URI
https://pub.uni-bielefeld.de/record/2904123
Zitieren
Bejenaru I, Herr S. The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$. Communications in Mathematical Physics. 2016;343(2):515-562.
Bejenaru, I., & Herr, S. (2016). The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$. Communications in Mathematical Physics, 343(2), 515-562. doi:10.1007/s00220-015-2508-4
Bejenaru, Ioan, and Herr, Sebastian. 2016. “The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$”. Communications in Mathematical Physics 343 (2): 515-562.
Bejenaru, I., and Herr, S. (2016). The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$. Communications in Mathematical Physics 343, 515-562.
Bejenaru, I., & Herr, S., 2016. The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$. Communications in Mathematical Physics, 343(2), p 515-562.
I. Bejenaru and S. Herr, “The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$”, Communications in Mathematical Physics, vol. 343, 2016, pp. 515-562.
Bejenaru, I., Herr, S.: The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$. Communications in Mathematical Physics. 343, 515-562 (2016).
Bejenaru, Ioan, and Herr, Sebastian. “The Cubic Dirac Equation: Small Initial Data in $H^{1/2}(R^2)$”. Communications in Mathematical Physics 343.2 (2016): 515-562.
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