Calculus of Variations and Geometric Measure Theory

A. Figalli

On flows of $H^{3/2}$-vector fields on the circle

created by figalli on 05 Jun 2009
modified on 04 Sep 2009


Accepted Paper

Inserted: 5 jun 2009
Last Updated: 4 sep 2009

Journal: Math. Ann.
Year: 2009


In this paper we give a characterizations of flow maps of $H^{3/2}$-vector fields on the circle in terms of fractional Sobolev norms. Our result has applications in the study of the geometry of Bers's universal Teichm├╝ller space.