Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials
Analysis of PDEs
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0602257,
title = {Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials},
author = {Michael Goldberg and Luis Vega and Nicola Visciglia},
journal= {arXiv preprint arXiv:math/0602257},
year = {2007}
}
Comments
13 pages. Corrected typo in arXiv abstract. No changes to paper itself