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Chapitre D'ouvrage Année : 2016

Semiclassical analysis of dispersion phenomena

Résumé

Our aim in this work is to give some quantitative insight on the dispersive effects exhibited by solutions of a semiclassical Schrödinger-type equation in R d. We describe quantitatively the localisation of the energy in a long-time semiclassical limit within this non compact geometry and exhibit conditions under which the energy remains localized on compact sets. We also explain how our results can be applied in a straightforward way to describe obstructions to the validity of smoothing type estimates.
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hal-01741472 , version 1 (23-03-2018)

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Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià. Semiclassical analysis of dispersion phenomena. Analysis and Partial Differential Equations : Perspectives in Developing Countries, Springer, 2016. ⟨hal-01741472⟩
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