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arXiv · 1708.09084

The harmonic map heat flow on conic manifolds

Yuanzhen Shao·Changyou Wang
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Abstract

In this article, we study the the harmonic map heat flow from a manifold with conic singularities to a closed manifold. In particular, we have proved the short time existence and uniqueness of solutions as well as the existence of global solutions into manifolds with nonpositive sectional curvature. These results are established in virtue of the maximal regularity theory on manifolds with conic singularities.

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Yuanzhen Shao, Changyou Wang. 2017-08-30. The harmonic map heat flow on conic manifolds. https://doi.org/10.1090/conm%2F725%2F14550

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