6 papers
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…
Quantitative observability for the Schrödinger equation with an anharmonic oscillator
Shanlin Huang, Gengsheng Wang, Ming Wang
This paper studies the observability inequalities for the Schrödinger equation associated with an anharmonic oscillator $H=-\frac{\d^2}{\d x^2}+|x|$. We build up the observability…
Observability inequality, log-type Hausdorff content and heat equations
Shanlin Huang, Gengsheng Wang, Ming Wang
This paper studies observability inequalities for heat equations on both bounded domains and the whole space . The observation sets are measured by log-type Hausdorff…