Quantitative uniqueness for Schrodinger operator with regular potentials

preprint2012arXivOpen access

Abstract

We give a sharp upper bound on the vanishing order of solutions to Schrodinger equation with C^1 electric and magnetic potentials on a compact smooth manifold. Our method is based on quantitative Carleman type inequalities developed by Donnelly and Fefferman. It also extends the first author's previous work to the magnetic potential case.

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