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On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces

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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… Click to show full abstract

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.

Keywords: harmonic maps; evolution; maps closed; dirac harmonic

Journal Title: Results in Mathematics
Year Published: 2020

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