Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions

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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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Analysis of PDEs, 35Q55; 35K10

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http://salesiana.dossiersoluciones.com/handle/123456789/154654

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.1608
 http://arxiv.org/abs/0802.1608

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arXiv