Controllability of quasi-linear Hamiltonian Schrödinger equations on tori

Abstract

We prove exact controllability for quasi-linear Hamiltonian Schr¨odinger equations on tori of dimension greater or equal then two. The result holds true for sufficiently small initial conditions satisfying natural minimal regularity assumptions, provided that the region of control satisfies the geometric control condition.

Jingrui NIU

Postdoctoral researcher

My research interests include control of PDEs, and microlocal analysis.