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arXiv · 2106.02843

Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions

Kiyeon Lee
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Abstract

The aim of this paper is to show the local well-posedness of 2 dimensional Dirac equations with power type and Hartree type nonlinearity derived from honeycomb structure in $H^s$ for $s>\frac78$ and $s>\frac38$, respectively. We also provide the smoothness failure of flows of Dirac equations.

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Kiyeon Lee. 2021-06-05. Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions. https://arxiv.org/abs/2106.02843

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