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Quantization for a nonlinear Dirac equation
Miaomiao ZhuAbstract
We study solutions of certain nonlinear Dirac-type equations on Riemann spin surfaces. We first improve an energy identity theorem for a sequence of such solutions with uniformly bounded energy in the case of a fixed domain. Then, we prove the corresponding energy identity in the case that the equations have constant coefficients and the domains possibly degenerate to a spin surface with only Neveu-Schwarz type nodes.
- Received:
- 10.04.08
- Published:
- 11.04.08
- MSC Codes:
- 58J05, 53C27
- Keywords:
- Dirac equation, energy identity, Neveu-Schwarz