Quantization for a nonlinear Dirac equation
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Submission date: 10. Apr. 2008 (revised version: December 2015)
published in: Proceedings of the American Mathematical Society, 144 (2016) 10, p. 4533-4544
DOI number (of the published article): 10.1090/proc/13041
MSC-Numbers: 58J05, 53C27
Keywords and phrases: Dirac equation, energy identity, Neveu-Schwarz
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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.