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math.AP2009★ 1 cited
Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances
Jean-Francois Bony, Setsuro Fujiie, Thierry Ramond +1
We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrodinger operator. First, we prove a resolvent estimate for complex energies close t…
math.AP2009
Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian
Jean-Francois Bony, Dietrich Hafner
Using Mourre theory, we obtain low frequency resolvent estimates with sharp weights for long range metric perturbations of the flat Laplacian.