Mathematics – Analysis of PDEs
Scientific paper
2012-03-16
Mathematics
Analysis of PDEs
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.
Bakri Laurent
Casteras Jean-Baptiste
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