1 citations · 1 across the 2 of their papers we have counts for
4 papers
Local well-posedness for nonlinear Dirac equation on -star metric graphs
Huichao Xing, Zhipeng Yang
We consider the Cauchy problem for the nonlinear Dirac equation on a noncompact -star metric graph , \[ \mathrm{i}\partial_t Ï= DÏ- |Ï|^{p-2}Ï, \qquad Ï(0)=Ï_0, \] wher…
Low-regularity well-posedness for a mixed-sign quadratic Dirac equation on -star metric graphs
Huichao Xing, Zhipeng Yang
We study the Cauchy problem for a mixed-sign quadratic Dirac equation on a noncompact -star metric graph , \[ \mathrm{i}\partial_t Ï= DÏ- \mathcal N(Ï), \qquad Ï(0)=Ï_0,…
Spectral properties and bound states of the Dirac equation on periodic quantum graphs
Zhipeng Yang, Ling Zhu
We investigate nonlinear Dirac equations on a periodic quantum graph and develop a variational approach to the existence and multiplicity of bound states. After introducing the…
Bound states of nonlinear Dirac equations on periodic quantum graphs
Zhipeng Yang, Ling Zhu
We study nonlinear Dirac equations (NLDE) on periodic quantum graphs endowed with Kirchhoff-type vertex conditions. Our main goal is to establish existence and multiplicity of boun…