Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials

Details Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials

2006-02-12

arxiv.org/abs/math/0602257v2

Intl. Math. Res. Not. 2006 (2006), Article ID 13927, 16pp.

Mathematics

Analysis of PDEs

13 pages. Corrected typo in arXiv abstract. No changes to paper itself

Scientific paper

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.

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