The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$

Bejenaru I, Herr S (2015)
Communications in Mathematical Physics 335(1): 43-82.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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DOI
Autor*in
Bejenaru, Ioan; Herr, SebastianUniBi
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
We establish global well-posedness and scattering for the cubic Dirac equation for small data in the critical space . The main ingredient is obtaining a sharp end-point Strichartz estimate for the Klein-Gordon equation. In a classical sense this fails and it is related to the failure of the endpoint Strichartz estimate for the wave equation in space dimension three. In this paper, systems of coordinate frames are constructed in which endpoint Strichartz estimates are recovered and energy estimates are established.
Erscheinungsjahr
2015
Zeitschriftentitel
Communications in Mathematical Physics
Band
335
Ausgabe
1
Seite(n)
43-82
ISSN
0010-3616
Page URI
https://pub.uni-bielefeld.de/record/2728261

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Bejenaru I, Herr S. The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$. Communications in Mathematical Physics. 2015;335(1):43-82.
Bejenaru, I., & Herr, S. (2015). The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$. Communications in Mathematical Physics, 335(1), 43-82. doi:10.1007/s00220-014-2164-0
Bejenaru, Ioan, and Herr, Sebastian. 2015. “The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$”. Communications in Mathematical Physics 335 (1): 43-82.
Bejenaru, I., and Herr, S. (2015). The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$. Communications in Mathematical Physics 335, 43-82.
Bejenaru, I., & Herr, S., 2015. The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$. Communications in Mathematical Physics, 335(1), p 43-82.
I. Bejenaru and S. Herr, “The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$”, Communications in Mathematical Physics, vol. 335, 2015, pp. 43-82.
Bejenaru, I., Herr, S.: The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$. Communications in Mathematical Physics. 335, 43-82 (2015).
Bejenaru, Ioan, and Herr, Sebastian. “The Cubic Dirac Equation: Small Initial Data in $H^1(R^3)$”. Communications in Mathematical Physics 335.1 (2015): 43-82.
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