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arXiv · 0810.2051

A Remark on Nonlinear Dirac Equations

Changyou Wang
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Abstract

For a $n$-dimensional spin manifold $M$ with a fixed spin structure and a spinor bundle $ΣM$, we prove an $ε$-regularity theorem for weak solutions to the nonlinear Dirac equation of cubic nonlinearity. This, in particular, answers a regularity question raised by Chen-Jost-Wang when $n=2$.

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Changyou Wang. 2008-10-11. A Remark on Nonlinear Dirac Equations. https://arxiv.org/abs/0810.2051

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