Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
31/2008

Quantization for a nonlinear Dirac equation

Miaomiao Zhu

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.

Received:
Apr 10, 2008
Published:
Apr 11, 2008
MSC Codes:
58J05, 53C27
Keywords:
Dirac equation, energy identity, Neveu-Schwarz

Related publications

inJournal
2016 Repository Open Access
Miaomiao Zhu

Quantization for a nonlinear Dirac equation

In: Proceedings of the American Mathematical Society, 144 (2016) 10, pp. 4533-4544