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The partial regularity of the weak heat flow of harmonic maps from a Riemannian manifold M with boundary into general compact Riemannian manifold N without boundary is considered. It is shown that the singular set Sing(u) of the weak heat flow satisfies , with n = dimensionM. Here is Hausdorff measure with respect to parabolic metric .
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Xiangao Liu (2002) studied this question.
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