Hardy Uncertainty Principle, Convexity and Parabolic Evolutions
نویسنده
چکیده
We give a new proof of the L2 version of Hardy’s uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new log-convexity properties and the derivation of optimal Gaussian decay bounds for solutions to the heat equation with Gaussian decay at a future time. We extend the result to heat equations with lower order variable coefficient.
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