Quantitative uniqueness for Schrödinger operator with regular potentials

Laurent Bakri (1) , Jean-Baptiste Casteras (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 MEPHYSTO - Quantitative methods for stochastic models in physics

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.

Domaines: Equations aux dérivées partielles [math.AP]

Laurent Bakri, Jean-Baptiste Casteras. Quantitative uniqueness for Schrödinger operator with regular potentials. Mathematical Methods in the Applied Sciences, 2014, 37 (13), pp.1992-2008. ⟨10.1002/mma.2951⟩. ⟨hal-01981183⟩