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arXiv:1303.1699 [math.AP]AbstractReferencesReviewsResources

Local well-posedness for the nonlinear Dirac equation in two space dimensions

Hartmut Pecher

Published 2013-03-07, updated 2014-02-05Version 6

The Cauchy problem for the cubic nonlinear Dirac equation in two space dimensions is locally well-posed for data in H^s for s > 1/2. The proof given in spaces of Bourgain-Klainerman-Machedon type relies on the null structure of the nonlinearity as used by d'Ancona-Foschi-Selberg for the Dirac-Klein-Gordon system before and bilinear Strichartz type estimates for the wave equation by Selberg and Foschi-Klainerman.

Comments: 21 pages. This is (almost) identical with version 1. The versions 2-4 contain an error in the proof of Proposition 2.1
Categories: math.AP
Subjects: 35Q55, 35L70
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