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arXiv · 0901.2533

3-Commutators Estimates and the Regularity of 1/2 Harmonic Maps into Spheres

Francesca Da Lio·Tristan Riviere
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Abstract

We prove the regularity of weak 1/2-harmonic maps from the real line into a sphere. The key point in our result is first a formulation of the 1/2-harmonic map equation in the form of a non-local linear Schrödinger type equation with a 3-terms commutators in the right-hand-side . We then establish a sharp estimate for these 3-commutators.

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Francesca Da Lio, Tristan Riviere. 2009-07-24. 3-Commutators Estimates and the Regularity of 1/2 Harmonic Maps into Spheres. https://arxiv.org/abs/0901.2533

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