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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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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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.
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Zeitschriftentitel
Communications in Mathematical Physics
Band
343
Ausgabe
2
Seite(n)
515-562
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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, 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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