Lu Wang

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math.DG2010

Harmonic map heat flow with rough boundary data

Lu Wang

Let $B_{1}$ be the unit open disk in $\Real^2$ and $M$ be a closed Riemannian manifold. In this note, we first prove the uniqueness for weak solutions of the harmonic map heat flow i…

math.DG2009

Existence of Good Sweepouts on Closed Manifolds

Longzhi Lin, Lu Wang

In this note we establish estimates for the harmonic map heat flow from $S^{1}$ into a closed manifold, and use it to construct sweepouts with the following good property: each curve…