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Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials

Michael Goldberg·Luis Vega·Nicola Visciglia
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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.

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Michael Goldberg, Luis Vega, Nicola Visciglia. 2006-02-14. Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials. https://arxiv.org/abs/math/0602257

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