On the local smoothing for a class of conformally invariant Schrodinger equations Luis VegaNicola Visciglia 35Q5581U30NLSnonlinear scatteringlocal smoothingconformal transformation We present some a-priori bounds from above and from below for solutions to a class of conformally invariant Schr\"odinger equations. As a by-product we deduce some new uniqueness results. Indiana University Mathematics Journal 2007 text pdf 10.1512/iumj.2007.56.3069 10.1512/iumj.2007.56.3069 en Indiana Univ. Math. J. 56 (2007) 2265 - 2304 state-of-the-art mathematics http://iumj.org/access/