Quantitative uniqueness for Schrödinger operator with regular potentials
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.
Domains
Analysis of PDEs [math.AP]| Origin | Files produced by the author(s) |
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