- 04-412 Andre' Martinez, Shu Nakamura, Vania Sordoni
- Analytic Smoothing Effect for the Schroedinger Equation
with Long-Range Perturbation
Dec 14, 04
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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.