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arXiv · 1803.08771

Semiclassical analysis of dispersion phenomena

Victor Chabu·Clotilde Fermanian-Kammerer·Fabricio Macià
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Abstract

Our aim in this work is to give some quantitative insight on the dispersive effects exhibited by solutions of a semiclassical Schr{\"o}dinger-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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Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià. 2018-03-23. Semiclassical analysis of dispersion phenomena. https://arxiv.org/abs/1803.08771

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