Abstract
We give a sharp upper bound on the vanishing order of solutions to the Schrödinger equation with electric and magnetic potentials on a compact smooth manifold. Our main result is that the vanishing order of nontrivial solutions to Δu + V · ∇ u + Wu = 0 is everywhere less than . Our method is based on quantitative Carleman type inequalities, and it allows us to show the following uniform doubling inequality urn:x-wiley:01704214:media:mma2951:mma2951-math-0003 which implies the desired result. Copyright © 2013 John Wiley & Sons, Ltd.
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