The cubic nonlinear Dirac equation
Journées équations aux dérivées partielles (2012), article no. 1, 10 p.

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.

@article{JEDP_2012____A1_0,
     author = {Cacciafesta, Federico},
     title = {The cubic nonlinear {Dirac} equation},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {1},
     publisher = {Groupement de recherche 2434 du CNRS},
     year = {2012},
     doi = {10.5802/jedp.84},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/jedp.84/}
}
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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://www.numdam.org/articles/10.5802/jedp.84/

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