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We have decided to discontinue the publication of preprints on our preprint server end of 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.
A global weak solution of the Dirac-harmonic map flow
Jürgen Jost, Lei Liu and Miaomiao ZhuAbstract
We show the existence of a global weak solution of the heat flow for Dirac-harmonic maps from compact Riemann surfaces with boundary when the energy of the initial map and the
As an application, we deduce some existence results for Dirac-harmonic maps.
- Received:
- 03.01.16
- Published:
- 04.01.16
- Keywords:
- Dirac-harmonic map, Dirac-harmonic flow, blow-up, Dirichlet boundary, chiral boundary, singularity