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Second microlocal calculus: applications to the Schrödinger equation and to the damped wave equation on the torus

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If you have a question about this talk, please contact Jonathan Ben-Artzi.

I will discuss applications of the microlocal calculus to the study of the dispersion and of the controllability of the Schrödinger equation on flat tori (joint work with Fabricio Macia). I will also indicate consequences on the speed of decay of the energy in the damped wave equation (joint with Matthieu Leautaud).

This talk is part of the Partial Differential Equations seminar series.

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