Quantization for a nonlinear Dirac equation

Zhu, Miaomiao

doi:10.1090/proc/13041

Quantization for a nonlinear Dirac equation
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Proc. Amer. Math. Soc. 144 (2016), 4533-4544 Request permission

Abstract:

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.

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