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Descripción
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| We present a unified framework to deal simultaneously with dispersive, (Strichartz-type) estimates and quantitative unique continuation (observability) estimates for the linear Schrödinger equation on a manifold. Our approach is based on phase-space harmonic analysis techniques, namely on a precise analysis of the structure of semiclassical measures associated to solutions to Schrödinger-type equations. In this talk we focus on the Schrödinger flow (and some of its generalisations) on flat tori. We describe results obtained in collaboration with N. Anantharaman and C. Fermanian-Kammerer and show how they can be used to extend some of the results on dispersion and observability that can be found in the literature. | |
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Internacional
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Si |
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ISSN o ISBN
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00000000 |
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Entidad relacionada
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Universita di Roma, La Sapienza |
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Nacionalidad Entidad
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ITALIA |
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Lugar del congreso
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Roma (Italia) |