March  2015, 14(2): 737-742. doi: 10.3934/cpaa.2015.14.737

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

1. 

Fachbereich Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, Gaußstr. 20, 42097 Wuppertal

Received  February 2014 Revised  February 2014 Published  December 2014

The stated theorems in [1] remain completely unchanged. However, the proof of Proposition 2.1 has to be modified, because in several places Cor. 1.1 was used for $\beta_- < \frac{1}{4}$, which is not admissible. Instead we use that the nonlinearity satisfies two null conditions, namely $\langle \beta \psi,\psi \rangle$ on one hand and the factor $\beta \psi$ produces a second null condition by duality on the other hand. The latter property was not used before and gives an additional regularizing factor which allows to use Cor. 1.1 correctly. Here and in the following we use the numbering and notation of [1].
Citation: Hartmut Pecher. Corrigendum of "Local well-posedness for the nonlinear Dirac equation in two space dimensions". Communications on Pure & Applied Analysis, 2015, 14 (2) : 737-742. doi: 10.3934/cpaa.2015.14.737
References:
[1]

H. Pecher, Local well-posedness for the nonlinear Dirac equation in two space dimensions,, \emph{Comm. Pure Appl. Analysis}, 13 (2014), 673.  doi: 10.3934/cpaa.2014.13.673.  Google Scholar

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References:
[1]

H. Pecher, Local well-posedness for the nonlinear Dirac equation in two space dimensions,, \emph{Comm. Pure Appl. Analysis}, 13 (2014), 673.  doi: 10.3934/cpaa.2014.13.673.  Google Scholar

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