Analytic smoothing effect for the Schrodinger equation with long-range perturbation

Martinez, Andre' ; Nakamura, Shu ; Sordoni, Vania (2005) Analytic smoothing effect for the Schrodinger equation with long-range perturbation. [Preprint]
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Abstract

We study microlocal analytic singularity of solutions to Schr\"odinger 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 Schr\"odinger operator is a long-range type perturbation of the Laplacian, and we employ positive commutator type estimates to prove the smoothing property.

Abstract
Tipologia del documento
Preprint
Autori
AutoreAffiliazioneORCID
Martinez, Andre'
Nakamura, Shu
Sordoni, Vania
Settori scientifico-disciplinari
DOI
Data di deposito
11 Gen 2005
Ultima modifica
16 Mag 2011 11:37
URI

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