4 papers · 1 filter
Controllable subspaces and real-part observability for Schrödinger equations on
Gengsheng Wang, Ming Wang
We study internal controllability of Schrödinger equations on tori with controls acting only through their real parts. This real-part constraint leads to a real-linear control prob…
On smoothness of extremizers of the Tomas-Stein inequality for
Shuanglin Shao, Ming Wang
We prove that the extremizers to the Tomas-Stein inequality for the one dimension sphere are smooth. This is achieved by studying the associated Euler-Lagrange equation.
Conditional existence of maximizers for the Tomas-Stein inequality for the sphere
Shuanglin Shao, Ming Wang
The Tomas-Stein inequality for a compact subset of the sphere states that the mapping is bounded from to . The…
Curved Ingham inequalities and observability of the toroidal Schr{ö}dinger equation
Bernhard H Haak, Philippe Jaming, Ming Wang +1
We prove that solutions of the toroidal Schr{ö}dinger equation can be observed from suitably curved space-time trajectories, thus of zero Lebesgue measure. To do so, we establish…