Mathematics – Analysis of PDEs
Scientific paper
2009-01-16
Mathematics
Analysis of PDEs
53 p. (new commutator estimates)
Scientific paper
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 Schr\"odinger type equation with
a 3-terms commutators in the right-hand-side . We then establish a sharp
estimate for these 3-commutators.
Lio Francesca Da
Riviere Tristan
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