Geodesic
The cubic nonlinear Dirac equation
Cacciafesta, Federico1 
1 SAPIENZA — Università di Roma, Dipartimento di Matematica, Piazzale A. Moro 2, I-00185 Roma, Italy
Journées équations aux dérivées partielles (2012), article no. 1, 10 p.

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We present some results obtained in collaboration with prof. Piero D’Ancona concerning global existence for the 3D cubic non linear massless Dirac equation with a potential for small initial data in H 1 with slight additional assumptions. The new crucial tool is given by the proof of some refined endpoint Strichartz estimates.

DOI : 10.5802/jedp.84

Cacciafesta, Federico 1

1 SAPIENZA — Università di Roma, Dipartimento di Matematica, Piazzale A. Moro 2, I-00185 Roma, Italy 
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Cacciafesta, Federico. The cubic nonlinear Dirac equation. Journées équations aux dérivées partielles (2012), article  no. 1, 10 p. doi : 10.5802/jedp.84. http://geodesic.mathdoc.fr/articles/10.5802/jedp.84/

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