In this paper a weak solution to the heat flow for p harmonic maps are constructed. Nonuniqueness results for such solutions are also given when the first data u 0(x) is a weakly p harmonic map but not a weakly stationary harmonic map.
ChunQin Zhou,YuanDi Wang.
Existence and Nonuniqueness for the Heat Flow of P Harmonic Maps. Acta Mathematica Sinica, Chinese Series, 1998, 41(3) https://doi.org/10.12386/A1998sxxb0100