04-412 Andre' Martinez, Shu Nakamura, Vania Sordoni

Analytic Smoothing Effect for the Schroedinger Equation with Long-Range Perturbation (319K, pdf) 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.

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