The cubic nonlinear Dirac equation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 02 Dec 2013Embargo end date: 01 Jan 2013 English Publisher:MathDoc/Centre MersenneJournal:Journées équations aux dérivées partielles (eissn: 2118-9366,

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Authors: Cacciafesta, Federico;

doi: 10.5802/jedp.84 , 10.48550/arxiv.1301.6867

arXiv: 1301.6867

The cubic nonlinear Dirac equation

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Abstract

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.

Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics, Analysis of PDEs (math.AP)

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