Hardy Uncertainty Principle and unique continuation properties of covariant Schrodinger flows
Journal of Functional Analysis(2013)
摘要
We prove a logarithmic convexity result for exponentially weighted L2-norms of solutions to electromagnetic Schrödinger equation, without needing to assume smallness of the magnetic potential. As a consequence, we can prove a unique continuation result in the style of the Hardy uncertainty principle, which generalizes the analogous theorems which have been recently proved by Escauriaza, Kenig, Ponce and Vega.
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关键词
Schrödinger equation,Electromagnetic potentials,Carleman estimates,Uncertainty principle
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