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A global weak solution to the Lorentzian harmonic map flow

Published 19 Sep 2018 in math.DG | (1809.07237v1)

Abstract: We investigate a parabolic-elliptic system which is related to a harmonic map from a compact Riemann surface with a smooth boundary into a Lorentzian manifold with a warped product metric. We prove that there exists a unique global weak solution for this system which is regular except for at most finitely many singular points.

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Authors (3)

  1. Xiaoli Han 
  2. Lei Liu 
  3. Liang Zhao 

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