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 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}, pages = {1--10}, 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/} }
TY - JOUR AU - Cacciafesta, Federico TI - The cubic nonlinear Dirac equation JO - Journées équations aux dérivées partielles PY - 2012 SP - 1 EP - 10 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.84/ DO - 10.5802/jedp.84 LA - en ID - JEDP_2012____A1_0 ER -
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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