A Remark on Nonlinear Dirac Equations

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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 $n=2$.
6pages

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Analysis of PDEs, Differential Geometry, 35J20

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http://salesiana.dossiersoluciones.com/handle/123456789/171336

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.2051
 http://arxiv.org/abs/0810.2051

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arXiv