Table of contents

Lecture notes : Global Well-posedness, scattering and blow up for the energy-critical, focusing, non-linear Schrödinger and wave equations

Talk no. 1, 35 p.
On ∞-harmonic functions

Talk no. 2, 11 p.
Eigenvalue asymptotics for randomly perturbed non-self adjoint operators

Talk no. 3, 4 p.
Controllability of nonlinear PDE’s: Agrachev–Sarychev approach

Talk no. 4, 11 p.
Mathematics of Invisibility

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Talk no. 5, 11 p.