Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hardy's Uncertainty Principle, Convexity and Schr\"odinger Evolutions   We prove the logarithmic convexity of certain quantities, which measure the
quadratic exponential decay at infinity and within two characteristic
hyperplanes of solutions of Schr\"odinger 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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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn