Quantitative uniqueness for Schrödinger operator with regular potentials

Laurent Bakri 1 Jean-Baptiste Casteras 2
2 MEPHYSTO - Quantitative methods for stochastic models in physics
LPP - Laboratoire Paul Painlevé - UMR 8524, ULB - Université Libre de Bruxelles [Bruxelles], Inria Lille - Nord Europe
Abstract : We give a sharp upper bound on the vanishing order of solutions to Schrödinger equation with C 1 magnetic potential on a compact smooth manifold. Our method is based on quantitative Carleman type inequalities developed by Donnelly and Fefferman [4]. It also extends the previous work [3] of the first author to the magnetic potential case.
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Laurent Bakri, Jean-Baptiste Casteras. Quantitative uniqueness for Schrödinger operator with regular potentials. Mathematical Methods in the Applied Sciences, Wiley, 2014, 37 (13), pp.1992-2008. ⟨10.1002/mma.2951⟩. ⟨hal-01981183⟩

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