Quantitative uniqueness for Schrodinger operator with regular potentials

Mathematics – Analysis of PDEs

Scientific paper

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28 pages

Scientific paper

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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