Notes on the regularity of harmonic map systems

Huang, Tao; Wang, Changyou

doi:10.1090/S0002-9939-10-10344-X

Notes on the regularity of harmonic map systems
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by Tao Huang and Changyou Wang

Proc. Amer. Math. Soc. 138 (2010), 2015-2023

DOI: https://doi.org/10.1090/S0002-9939-10-10344-X

Published electronically: February 5, 2010

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Abstract:

In this paper, we provide an alternative proof of $C^{1,\alpha }$-regularity of continuous weak solutions to the system of harmonic maps or heat flow of harmonic maps by Riesz potential estimates between Morrey spaces.

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