Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

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