Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions
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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| Main Author: | |
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| Format: | Journal Article |
| Language: | English |
| Published: |
05-06-2021
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2106.02843 |