6 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…
Curved Ingham Inequalities for Dispersive Trigonometric Sums
Bernhard H Haak, Philippe Jaming, Ming Wang +1
We study restrictions of dispersive trigonometric sums to curves in the -plane. Our main result is a curved analogue…
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…
Observability of dispersive equations from line segments on the torus
Yunlei Wang, Ming Wang
We investigate the observability of a general class of linear dispersive equations on the torus . We take one line segment or two line segments in space-time region as…
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.