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LOCAL WELL-POSEDNESS OF DIRAC EQUATIONS WITH NONLINEARITY DERIVED FROM HONEYCOMB STRUCTURE IN 2 DIMENSIONS

  • Lee, Kiyeon (Department of Mathematics Ewha Womans University)
  • Received : 2020.12.14
  • Accepted : 2021.06.04
  • Published : 2021.11.30
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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 nonlin-earity derived from honeycomb structure in Hs for s > $\frac{7}{8}$ and s > $\frac{3}{8}$, respectively. We also provide the smoothness failure of flows of Dirac equations.

Keywords

Acknowledgement

K. Lee was partially supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2020R1F1A1A0106876811).

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