Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials
arXiv:math/0602257
Abstract
In each dimension n >= 2, we construct a class of nonnegative potentials that are homogeneous of order -sigma, chosen from the range 0 < sigma < 2, and for which the perturbed Schrodinger equation does not satisfy global in time Strichartz estimates.
13 pages. Corrected typo in arXiv abstract. No changes to paper itself