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The cubic nonlinear Dirac equation

Federico Cacciafesta — 2012

Journées Équations aux dérivées partielles

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.

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