Rigidity in the Harmonic Map Heat Flow

نویسنده

  • PETER MILES TOPPING
چکیده

We establish various uniformity properties of the harmonic map heat ow, including uniform convergence in L 2 exponentially as t ! 1, and uniqueness of the positions of bubbles at innnite time. Our hypotheses are that the ow is between 2-spheres, and that the limit map and any bubbles share the same orientation.

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تاریخ انتشار 1997