Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds

Wittmann, Johannes (2017) Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 56 (6): 169. ISSN 0944-2669, 1432-0835

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Abstract

The heat flowfor Dirac-harmonicmaps on Riemannian spin manifolds is a modification of the classical heat flowfor harmonicmaps by coupling it to a spinor. Itwas introduced by Chen, Jost, Sun, and Zhu as a tool to get a general existence program for Dirac-harmonic maps. For source manifolds with boundary they obtained short time existence, and the existence of a global weak solution was established by Jost, Liu, and Zhu. We prove short time existence of the heat flow for Dirac-harmonic maps on closed manifolds.

Item Type: Article
Uncontrolled Keywords: ENERGY IDENTITIES; REGULARITY;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Helmut Abels
Mathematics > Prof. Dr. Bernd Ammann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:19
Last Modified: 19 Feb 2019 07:41
URI: https://pred.uni-regensburg.de/id/eprint/1867

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