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arXiv:1406.6274 [math.DG]AbstractReferencesReviewsResources

On the evolution of regularized Dirac-harmonic Maps from closed surfaces

Volker Branding

Published 2014-06-24, updated 2020-07-03Version 2

We study the evolution equations for a regularized version of Dirac-harmonic maps from closed Riemannian surfaces. We establish the existence of a global weak solution for the regularized problem, which is smooth away from finitely many singularities. Moreover, we discuss the convergence of the evolution equations and address the question if we can remove the regularization in the end.

Journal: Results in Mathematics, Volume 75, Article number: 57 (2020)
Categories: math.DG, math-ph, math.AP, math.MP
Subjects: 53C27, 53C43, 58E20, 58J35
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