Andre' Martinez, Shu Nakamura, Vania Sordoni
Analytic Smoothing Effect for the Schroedinger Equation 
with Long-Range Perturbation
(319K, pdf)

ABSTRACT.  We study microlocal analytic singularity of solutions to the 
Schrodinger equation with analytic coefficients. 
Using microlocal weight estimate developped for estimating 
the phase space tunneling, we prove microlocal smoothing 
estimates that generalize results by L. Robbiano and C. Zuily. 
We suppose the Schrodinger operator is a long-range type perturbation of the Laplacian, and we employ positive commutator 
type estimates to prove the smoothing property.