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arXiv · 0802.1608

Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions

L. Escauriaza·C. E. Kenig·G. Ponce·L. Vega
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Abstract

We prove the logarithmic convexity of certain quantities, which measure the quadratic exponential decay at infinity and within two characteristic hyperplanes of solutions of Schrödinger evolutions. As a consequence we obtain some uniqueness results that generalize (a weak form of) Hardy's version of the uncertainty principle. We also obtain corresponding results for heat evolutions.

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L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega. 2008-02-12. Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions. https://arxiv.org/abs/0802.1608

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